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102131031312 = 2432709243273
BaseRepresentation
bin101111100011101111…
…0111101110100010000
3100202121200112221122100
41133013132331310100
53133131021000222
6114530210240400
710243621304532
oct1370736756420
9322550487570
10102131031312
113a34a339502
1217963586100
139828173b0b
144d2c0a7852
1529cb3814ac
hex17c77bdd10

102131031312 has 30 divisors (see below), whose sum is σ = 285825039422. Its totient is φ = 34043677056.

The previous prime is 102131031293. The next prime is 102131031347. The reversal of 102131031312 is 213130131201.

102131031312 is a `hidden beast` number, since 10 + 2 + 1 + 310 + 31 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96723488016 + 5407543296 = 311004^2 + 73536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354621493 + ... + 354621780.

Almost surely, 2102131031312 is an apocalyptic number.

102131031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131031312 is an abundant number, since it is smaller than the sum of its proper divisors (183694008110).

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

102131031312 is a wasteful number, since it uses less digits than its factorization.

102131031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709243287 (or 709243278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102131031312 its reverse (213130131201), we get a palindrome (315261162513).

The spelling of 102131031312 in words is "one hundred two billion, one hundred thirty-one million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 709243273 1418486546 2127729819 2836973092 4255459638 5673946184 6383189457 8510919276 11347892368 12766378914 17021838552 25532757828 34043677104 51065515656 102131031312