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31193586137 = 753831013009
BaseRepresentation
bin11101000011010010…
…000101100111011001
32222111221020100202002
4131003102011213121
51002341024224022
622155150450345
72153002051550
oct350322054731
988457210662
1031193586137
1112257a69a5a
1260668039b5
132c3175209c
14171cb88d97
15c287e9092
hex7434859d9

31193586137 has 16 divisors (see below), whose sum is σ = 36760106880. Its totient is φ = 25916796672.

The previous prime is 31193586131. The next prime is 31193586143. The reversal of 31193586137 is 73168539113.

It is an interprime number because it is at equal distance from previous prime (31193586131) and next prime (31193586143).

It is a cyclic number.

It is not a de Polignac number, because 31193586137 - 214 = 31193569753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31193586091 and 31193586100.

It is not an unprimeable number, because it can be changed into a prime (31193586131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 475712 + ... + 537297.

It is an arithmetic number, because the mean of its divisors is an integer number (2297506680).

Almost surely, 231193586137 is an apocalyptic number.

It is an amenable number.

31193586137 is a deficient number, since it is larger than the sum of its proper divisors (5566520743).

31193586137 is a wasteful number, since it uses less digits than its factorization.

31193586137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013152.

The product of its digits is 408240, while the sum is 47.

The spelling of 31193586137 in words is "thirty-one billion, one hundred ninety-three million, five hundred eighty-six thousand, one hundred thirty-seven".

Divisors: 1 7 53 83 371 581 4399 30793 1013009 7091063 53689477 84079747 375826339 588558229 4456226591 31193586137