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100402112100 = 22352724746181
BaseRepresentation
bin101110110000001101…
…1101010011001100100
3100121011012021202100110
41131200123222121210
53121110420041400
6114042445413020
710153025604663
oct1354033523144
9317135252313
10100402112100
1139642413954
121756056a170
139610c104b4
144c06614dda
1529296b8e50
hex17606ea664

100402112100 has 72 divisors (see below), whose sum is σ = 290543154048. Its totient is φ = 26769622400.

The previous prime is 100402112087. The next prime is 100402112119. The reversal of 100402112100 is 1211204001.

It is a happy number.

It is a super-2 number, since 2×1004021121002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151010 + ... + 2197190.

It is an arithmetic number, because the mean of its divisors is an integer number (4035321584).

Almost surely, 2100402112100 is an apocalyptic number.

100402112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100402112100 is an abundant number, since it is smaller than the sum of its proper divisors (190141041948).

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

100402112100 is a wasteful number, since it uses less digits than its factorization.

100402112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53445 (or 53438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100402112100 its reverse (1211204001), we get a palindrome (101613316101).

The spelling of 100402112100 in words is "one hundred billion, four hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7247 14494 21741 28988 36235 43482 46181 72470 86964 92362 108705 138543 144940 181175 184724 217410 230905 277086 362350 434820 461810 543525 554172 692715 724700 923620 1087050 1154525 1385430 2174100 2309050 2770860 3463575 4618100 6927150 13854300 334673707 669347414 1004021121 1338694828 1673368535 2008042242 3346737070 4016084484 5020105605 6693474140 8366842675 10040211210 16733685350 20080422420 25100528025 33467370700 50201056050 100402112100