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32131001017 is a prime number
BaseRepresentation
bin11101111011001010…
…000010101010111001
310001221021010222012201
4131323022002222321
51011301014013032
622432154510201
72215144000543
oct357312025271
9101837128181
1032131001017
11126991266a5
126288735361
133050a1874b
1417ab484693
15c80c668e7
hex77b282ab9

32131001017 has 2 divisors, whose sum is σ = 32131001018. Its totient is φ = 32131001016.

The previous prime is 32131001009. The next prime is 32131001029. The reversal of 32131001017 is 71010013123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28494790416 + 3636210601 = 168804^2 + 60301^2 .

It is a cyclic number.

It is not a de Polignac number, because 32131001017 - 23 = 32131001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32131000985 and 32131001003.

It is not a weakly prime, because it can be changed into another prime (32131001047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16065500508 + 16065500509.

It is an arithmetic number, because the mean of its divisors is an integer number (16065500509).

Almost surely, 232131001017 is an apocalyptic number.

It is an amenable number.

32131001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

32131001017 is an equidigital number, since it uses as much as digits as its factorization.

32131001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 32131001017 in words is "thirty-two billion, one hundred thirty-one million, one thousand, seventeen".