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100021030233020 = 225132877295711411
BaseRepresentation
bin10110101111011111110101…
…111110100010001110111100
3111010010220202120102001112222
4112233133311332202032330
5101102221032214424040
6552421005453344512
730032165241156041
oct2657376576421674
9433126676361488
10100021030233020
1129962754029546
12b2748b4798138
1343a6c340b4b00
141a9b087c751c8
15b86b9abdebb5
hex5af7f5fa23bc

100021030233020 has 144 divisors (see below), whose sum is σ = 227800581670368. Its totient is φ = 36873024814080.

The previous prime is 100021030232941. The next prime is 100021030233043. The reversal of 100021030233020 is 20332030120001.

100021030233020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1000210302330203 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100021030233020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8765311115 + ... + 8765322525.

It is an arithmetic number, because the mean of its divisors is an integer number (1581948483822).

Almost surely, 2100021030233020 is an apocalyptic number.

100021030233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021030233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113900290835184).

100021030233020 is an abundant number, since it is smaller than the sum of its proper divisors (127779551437348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021030233020 is a wasteful number, since it uses less digits than its factorization.

100021030233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100021030233020 its reverse (20332030120001), we get a palindrome (120353060353021).

The spelling of 100021030233020 in words is "one hundred trillion, twenty-one billion, thirty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 877 1690 1754 2957 3380 3508 4385 5914 8770 11401 11411 11828 14785 17540 22802 22822 29570 38441 45604 45644 57005 57055 59140 76882 114010 114110 148213 148343 153764 192205 228020 228220 296426 296686 384410 499733 592852 593372 741065 741715 768820 999466 1482130 1483430 1928459 1998932 2498665 2593289 2964260 2966860 3856918 4997330 5186578 7713836 9642295 9994660 10007447 10373156 12966445 19284590 20014894 25932890 33712757 33742327 38569180 40029788 50037235 51865780 67425514 67484654 100074470 130096811 134851028 134969308 168563785 168711635 200148940 260193622 337127570 337423270 438265841 438650251 520387244 650484055 674255140 674846540 876531682 877300502 1300968110 1691258543 1753063364 1754601004 2191329205 2193251255 2601936220 3382517086 4382658410 4386502510 5702453263 6765034172 8456292715 8765316820 8773005020 11404906526 16912585430 22809813052 28512266315 29592020779 33825170860 57024532630 59184041558 114049065260 118368083116 147960103895 295920207790 384696270127 591840415580 769392540254 1538785080508 1923481350635 3846962701270 5001051511651 7693925402540 10002103023302 20004206046604 25005257558255 50010515116510 100021030233020