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100100101212 = 22332931960441
BaseRepresentation
bin101110100111001101…
…1100101010001011100
3100120101011000000022000
41131032123211101130
53120001111214322
6113552500322300
710142400551526
oct1351633452134
9316334000260
10100100101212
11394a7996681
12174973a3390
13959348a327
144bb847aa16
15290ce0e3ac
hex174e6e545c

100100101212 has 48 divisors (see below), whose sum is σ = 268467712800. Its totient is φ = 32216123520.

The previous prime is 100100101181. The next prime is 100100101237. The reversal of 100100101212 is 212101001001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100101194 and 100100101203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15977089 + ... + 15983352.

It is an arithmetic number, because the mean of its divisors is an integer number (5593077350).

Almost surely, 2100100101212 is an apocalyptic number.

100100101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100101212 is an abundant number, since it is smaller than the sum of its proper divisors (168367611588).

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

100100101212 is a wasteful number, since it uses less digits than its factorization.

100100101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31960483 (or 31960475 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100101212 its reverse (212101001001), we get a palindrome (312201102213).

The spelling of 100100101212 in words is "one hundred billion, one hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 31960441 63920882 95881323 127841764 191762646 287643969 383525292 575287938 862931907 926852789 1150575876 1725863814 1853705578 2780558367 3451727628 3707411156 5561116734 8341675101 11122233468 16683350202 25025025303 33366700404 50050050606 100100101212