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102131023032 = 23321418486431
BaseRepresentation
bin101111100011101111…
…0111011110010111000
3100202121200112112021200
41133013132323302320
53133131020214112
6114530210134200
710243621241433
oct1370736736270
9322550475250
10102131023032
113a34a333265
1217963581360
13982817010c
144d2c0a481a
1529cb37dcdc
hex17c77bbcb8

102131023032 has 24 divisors (see below), whose sum is σ = 276604854240. Its totient is φ = 34043674320.

The previous prime is 102131023031. The next prime is 102131023073. The reversal of 102131023032 is 230320131201.

102131023032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 102131022996 and 102131023014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131023031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 709243144 + ... + 709243287.

It is an arithmetic number, because the mean of its divisors is an integer number (11525202260).

Almost surely, 2102131023032 is an apocalyptic number.

102131023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131023032 is an abundant number, since it is smaller than the sum of its proper divisors (174473831208).

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

102131023032 is a wasteful number, since it uses less digits than its factorization.

102131023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418486443 (or 1418486436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102131023032 its reverse (230320131201), we get a palindrome (332451154233).

The spelling of 102131023032 in words is "one hundred two billion, one hundred thirty-one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1418486431 2836972862 4255459293 5673945724 8510918586 11347891448 12766377879 17021837172 25532755758 34043674344 51065511516 102131023032