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102310131132 = 2233114110320393
BaseRepresentation
bin101111101001000101…
…0001011010110111100
3100210002011120011102000
41133102022023112330
53134012343144012
6115000045102300
710251224523456
oct1372212132674
9323064504360
10102310131132
113a431446890
12179b3557990
1398562c1041
144d47ba92d6
1529dbe5cddc
hex17d228b5bc

102310131132 has 192 divisors, whose sum is σ = 299312133120. Its totient is φ = 29951769600.

The previous prime is 102310131127. The next prime is 102310131233. The reversal of 102310131132 is 231131013201.

102310131132 is a `hidden beast` number, since 10 + 2 + 310 + 1 + 311 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006728 + ... + 5027120.

It is an arithmetic number, because the mean of its divisors is an integer number (1558917360).

Almost surely, 2102310131132 is an apocalyptic number.

102310131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149656066560).

102310131132 is an abundant number, since it is smaller than the sum of its proper divisors (197002001988).

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

102310131132 is a wasteful number, since it uses less digits than its factorization.

102310131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20561 (or 20553 counting only the distinct ones).

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

Adding to 102310131132 its reverse (231131013201), we get a palindrome (333441144333).

The spelling of 102310131132 in words is "one hundred two billion, three hundred ten million, one hundred thirty-one thousand, one hundred thirty-two".