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10100030220 = 22325747170551
BaseRepresentation
bin10010110100000001…
…00011101100001100
3222001212222200210100
421122000203230030
5131141101431340
64350114411100
7505200561150
oct113200435414
928055880710
1010100030220
114313227215
121b5a590a90
13c4c641957
146bb561060
153e1a6b830
hex25a023b0c

10100030220 has 144 divisors (see below), whose sum is σ = 35758614528. Its totient is φ = 2259446400.

The previous prime is 10100030209. The next prime is 10100030263. The reversal of 10100030220 is 2203000101.

It is a happy number.

It is a super-2 number, since 2×101000302202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26056 + ... + 144495.

It is an arithmetic number, because the mean of its divisors is an integer number (248323712).

Almost surely, 210100030220 is an apocalyptic number.

10100030220 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 10100030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879307264).

10100030220 is an abundant number, since it is smaller than the sum of its proper divisors (25658584308).

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

10100030220 is a wasteful number, since it uses less digits than its factorization.

10100030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170620 (or 170615 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100030220 its reverse (2203000101), we get a palindrome (12303030321).

The spelling of 10100030220 in words is "ten billion, one hundred million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1974 2115 2820 2961 3290 3948 4230 4935 5922 6580 8460 9870 11844 14805 19740 29610 59220 170551 341102 511653 682204 852755 1023306 1193857 1534959 1705510 2046612 2387714 2558265 3069918 3411020 3581571 4775428 5116530 5969285 6139836 7163142 7674795 8015897 10233060 10744713 11938570 14326284 15349590 16031794 17907855 21489426 23877140 24047691 30699180 32063588 35815710 40079485 42978852 48095382 53723565 56111279 71631420 72143073 80158970 96190764 107447130 112222558 120238455 144286146 160317940 168333837 214894260 224445116 240476910 280556395 288572292 336667674 360715365 480953820 505001511 561112790 673335348 721430730 841669185 1010003022 1122225580 1442861460 1683338370 2020006044 2525007555 3366676740 5050015110 10100030220