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20221100332020 = 22325722292641761
BaseRepresentation
bin1001001100100000101111…
…00000001001001111110100
32122121010012020202010011200
410212100113200021033310
510122300303141111040
6111001240101332500
74154632500600600
oct446202740111764
978533166663150
1020221100332020
1164967a1a79a65
122326b99707130
13b38ac2c46673
144dc9c680c500
15250ee5975630
hex1264178093f4

20221100332020 has 108 divisors (see below), whose sum is σ = 71351596916964. Its totient is φ = 4621965788160.

The previous prime is 20221100331983. The next prime is 20221100332231. The reversal of 20221100332020 is 2023300112202.

20221100332020 is a `hidden beast` number, since 2 + 0 + 221 + 100 + 3 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14945754968676 + 5275345363344 = 3865974^2 + 2296812^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20221100331984 and 20221100332002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1146312061 + ... + 1146329700.

Almost surely, 220221100332020 is an apocalyptic number.

20221100332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221100332020 is an abundant number, since it is smaller than the sum of its proper divisors (51130496584944).

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

20221100332020 is a wasteful number, since it uses less digits than its factorization.

20221100332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292641790 (or 2292641778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20221100332020 its reverse (2023300112202), we get a palindrome (22244400444222).

The spelling of 20221100332020 in words is "twenty trillion, two hundred twenty-one billion, one hundred million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 2292641761 4585283522 6877925283 9170567044 11463208805 13755850566 16048492327 20633775849 22926417610 27511701132 32096984654 34389626415 41267551698 45852835220 48145476981 64193969308 68779252830 80242461635 82535103396 96290953962 103168879245 112339446289 137558505660 144436430943 160484923270 192581907924 206337758490 224678892578 240727384905 288872861886 320969846540 337018338867 412675516980 449357785156 481454769810 561697231445 577745723772 674036677734 722182154715 962909539620 1011055016601 1123394462890 1348073355468 1444364309430 1685091694335 2022110033202 2246788925780 2888728618860 3370183388670 4044220066404 5055275083005 6740366777340 10110550166010 20221100332020