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100153211412 = 22344371926203
BaseRepresentation
bin101110101000110011…
…0001011101000010100
3100120111211221021210110
41131101212023220110
53120103210231122
6114002034523020
710143614152002
oct1352146135024
9316454837713
10100153211412
1139524971101
12174b1136470
1395a1494297
144bc1543a72
15291290090c
hex175198ba14

100153211412 has 48 divisors (see below), whose sum is σ = 234553052160. Its totient is φ = 33261447648.

The previous prime is 100153211401. The next prime is 100153211423. The reversal of 100153211412 is 214112351001.

It is an interprime number because it is at equal distance from previous prime (100153211401) and next prime (100153211423).

It is a super-2 number, since 2×1001532114122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3809103 + ... + 3835305.

It is an arithmetic number, because the mean of its divisors is an integer number (4886521920).

Almost surely, 2100153211412 is an apocalyptic number.

100153211412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100153211412 is an abundant number, since it is smaller than the sum of its proper divisors (134399840748).

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

100153211412 is a wasteful number, since it uses less digits than its factorization.

100153211412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27372 (or 27370 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 100153211412 its reverse (214112351001), we get a palindrome (314265562413).

The spelling of 100153211412 in words is "one hundred billion, one hundred fifty-three million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 443 719 886 1329 1438 1772 2157 2658 2876 4314 5316 8628 26203 52406 78609 104812 157218 314436 318517 637034 955551 1274068 1911102 3822204 11607929 18839957 23215858 34823787 37679914 46431716 56519871 69647574 75359828 113039742 139295148 226079484 8346100951 16692201902 25038302853 33384403804 50076605706 100153211412