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100122212112 = 24313160452263
BaseRepresentation
bin101110100111110111…
…1111011011100010000
3100120102200121100202020
41131033233323130100
53120022241241422
6113555010251440
710143056522016
oct1351757733420
9316380540666
10100122212112
113950941894a
12174a2886b80
139597c2c4c0
144bbb3948b6
15290ed2a95c
hex174fbfb710

100122212112 has 40 divisors (see below), whose sum is σ = 278545130304. Its totient is φ = 30806834304.

The previous prime is 100122212107. The next prime is 100122212159. The reversal of 100122212112 is 211212221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122212091 and 100122212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80225508 + ... + 80226755.

Almost surely, 2100122212112 is an apocalyptic number.

100122212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122212112 is an abundant number, since it is smaller than the sum of its proper divisors (178422918192).

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

100122212112 is a wasteful number, since it uses less digits than its factorization.

100122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160452287 (or 160452281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122212112 its reverse (211212221001), we get a palindrome (311334433113).

The spelling of 100122212112 in words is "one hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 160452263 320904526 481356789 641809052 962713578 1283618104 1925427156 2085879419 2567236208 3850854312 4171758838 6257638257 7701708624 8343517676 12515276514 16687035352 25030553028 33374070704 50061106056 100122212112