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102112302312 = 233210733132137
BaseRepresentation
bin101111100011001011…
…1100001010011101000
3100202120101022102021200
41133012113201103220
53133111222133222
6114524301004200
710243303151166
oct1370627412350
9322511272250
10102112302312
113a33a807099
1217959253660
139824317077
144d297d0236
1529c98d1eac
hex17c65e14e8

102112302312 has 48 divisors (see below), whose sum is σ = 276582011940. Its totient is φ = 34034005248.

The previous prime is 102112302287. The next prime is 102112302359. The reversal of 102112302312 is 213203211201.

It can be written as a sum of positive squares in 2 ways, for example, as 80716219236 + 21396083076 = 284106^2 + 146274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706708 + ... + 838844.

Almost surely, 2102112302312 is an apocalyptic number.

102112302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112302312 is an abundant number, since it is smaller than the sum of its proper divisors (174469709628).

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

102112302312 is a wasteful number, since it uses less digits than its factorization.

102112302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142882 (or 142875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102112302312 its reverse (213203211201), we get a palindrome (315315513513).

The spelling of 102112302312 in words is "one hundred two billion, one hundred twelve million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10733 21466 32199 42932 64398 85864 96597 128796 132137 193194 257592 264274 386388 396411 528548 772776 792822 1057096 1189233 1585644 2378466 3171288 4756932 9513864 1418226421 2836452842 4254679263 5672905684 8509358526 11345811368 12764037789 17018717052 25528075578 34037434104 51056151156 102112302312