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102202110112 = 2527411165201
BaseRepresentation
bin101111100101110111…
…0000111000010100000
3100202210122022010102111
41133023232013002200
53133302220010422
6114541225525104
710245443413414
oct1371356070240
9322718263374
10102202110112
113a386477013
1217983343794
139839acc68b
144d376cad44
1529d2721a77
hex17cbb870a0

102202110112 has 24 divisors (see below), whose sum is σ = 201283984692. Its totient is φ = 51082368000.

The previous prime is 102202110053. The next prime is 102202110167. The reversal of 102202110112 is 211011202201.

102202110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100643755536 + 1558354576 = 317244^2 + 39476^2 .

It is a super-2 number, since 2×1022021101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202110092 and 102202110101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494889 + ... + 670312.

Almost surely, 2102202110112 is an apocalyptic number.

It is an amenable number.

102202110112 is a deficient number, since it is larger than the sum of its proper divisors (99081874580).

102202110112 is a wasteful number, since it uses less digits than its factorization.

102202110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167952 (or 1167944 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102202110112 its reverse (211011202201), we get a palindrome (313213312313).

The spelling of 102202110112 in words is "one hundred two billion, two hundred two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 2741 5482 10964 21928 43856 87712 1165201 2330402 4660804 9321608 18643216 37286432 3193815941 6387631882 12775263764 25550527528 51101055056 102202110112