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31396296100 = 2252132292472
BaseRepresentation
bin11101001111010111…
…010111010110100100
310000001001200002112111
4131033113113112210
51003244422433400
622231231330404
72161013053651
oct351727272644
9100031602474
1031396296100
1112351432a54
126102680a04
132c64747a00
14173ba74c28
15c3b4db3ba
hex74f5d75a4

31396296100 has 243 divisors, whose sum is σ = 78065750217. Its totient is φ = 10954594560.

The previous prime is 31396296089. The next prime is 31396296101. The reversal of 31396296100 is 169269313.

The square root of 31396296100 is 177190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 29043658084 + 2352638016 = 170422^2 + 48504^2 .

It is not an unprimeable number, because it can be changed into a prime (31396296101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 668006277 + ... + 668006323.

Almost surely, 231396296100 is an apocalyptic number.

31396296100 is the 177190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31396296100

31396296100 is an abundant number, since it is smaller than the sum of its proper divisors (46669454117).

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

31396296100 is a wasteful number, since it uses less digits than its factorization.

31396296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 31396296100 in words is "thirty-one billion, three hundred ninety-six million, two hundred ninety-six thousand, one hundred".