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31271423200 = 2552374379311
BaseRepresentation
bin11101000111111011…
…000000110011100000
32222201100200220010021
4131013323000303200
51003020441020300
622211011043224
72154635466013
oct350773006340
988640626107
1031271423200
11122979a3106
1260888a0514
132c44905b14
14172924b37a
15c30571d1a
hex747ec0ce0

31271423200 has 288 divisors, whose sum is σ = 81504783360. Its totient is φ = 11699251200.

The previous prime is 31271423189. The next prime is 31271423213. The reversal of 31271423200 is 232417213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100551045 + ... + 100551355.

It is an arithmetic number, because the mean of its divisors is an integer number (283002720).

Almost surely, 231271423200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31271423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

31271423200 is an abundant number, since it is smaller than the sum of its proper divisors (50233360160).

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

31271423200 is a wasteful number, since it uses less digits than its factorization.

31271423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 31271423200 in words is "thirty-one billion, two hundred seventy-one million, four hundred twenty-three thousand, two hundred".