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31531145017 is a prime number
BaseRepresentation
bin11101010111011001…
…110001011100111001
310000101110102010110211
4131113121301130321
51004033433120032
622252445511121
72164241211331
oct352731613471
9100343363424
1031531145017
1112410566a39
12613b8724a1
132c86670578
1417519380c1
15c48276747
hex757671739

31531145017 has 2 divisors, whose sum is σ = 31531145018. Its totient is φ = 31531145016.

The previous prime is 31531144999. The next prime is 31531145053. The reversal of 31531145017 is 71054113513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30805866256 + 725278761 = 175516^2 + 26931^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31531145017 is a prime.

It is a super-3 number, since 3×315311450173 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31531145017.

It is not a weakly prime, because it can be changed into another prime (31531145117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15765572508 + 15765572509.

It is an arithmetic number, because the mean of its divisors is an integer number (15765572509).

Almost surely, 231531145017 is an apocalyptic number.

It is an amenable number.

31531145017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31531145017 is an equidigital number, since it uses as much as digits as its factorization.

31531145017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 31531145017 in words is "thirty-one billion, five hundred thirty-one million, one hundred forty-five thousand, seventeen".