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21021132323100 = 22352713770004847
BaseRepresentation
bin1001100011110010111010…
…00111111111100100011100
32202102121012212002011200010
410301321131013333210130
510223402234333314400
6112412550323403220
74266504153403230
oct461713507774434
982377185064603
1021021132323100
1167750151a4068
122436052823510
13b96390714370
145295dd1005c0
15266c1b986450
hex131e5d1ff91c

21021132323100 has 144 divisors (see below), whose sum is σ = 74856791303168. Its totient is φ = 4435227912960.

The previous prime is 21021132323083. The next prime is 21021132323201. The reversal of 21021132323100 is 132323112012.

It is a super-2 number, since 2×210211323231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384975124 + ... + 385029723.

Almost surely, 221021132323100 is an apocalyptic number.

21021132323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021132323100 is an abundant number, since it is smaller than the sum of its proper divisors (53835658980068).

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

21021132323100 is a wasteful number, since it uses less digits than its factorization.

21021132323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770004884 (or 770004877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21021132323100 its reverse (132323112012), we get a palindrome (21153455435112).

The spelling of 21021132323100 in words is "twenty-one trillion, twenty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 770004847 1540009694 2310014541 3080019388 3850024235 4620029082 5390033929 7700048470 9240058164 10010063011 10780067858 11550072705 15400096940 16170101787 19250121175 20020126022 21560135716 23100145410 26950169645 30030189033 32340203574 38500242350 40040252044 46200290820 50050315055 53900339290 57750363525 60060378066 64680407148 70070441077 77000484700 80850508935 100100630110 107800678580 115500727050 120120756132 134750848225 140140882154 150150945165 161701017870 200201260220 210211323231 231001454100 250251575275 269501696450 280281764308 300301890330 323402035740 350352205385 404252544675 420422646462 500503150550 539003392900 600603780660 700704410770 750754725825 808505089350 840845292924 1001006301100 1051056616155 1401408821540 1501509451650 1617010178700 1751761026925 2102113232310 3003018903300 3503522053850 4204226464620 5255283080775 7007044107700 10510566161550 21021132323100