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31601743013 is a prime number
BaseRepresentation
bin11101011011100111…
…000101010010100101
310000120101020212201102
4131123213011102211
51004210021234023
622303451005445
72166056245361
oct353347052245
9100511225642
1031601743013
11124473a6295
12615b439885
132c9818b329
14175b0742a1
15c4e56e628
hex75b9c54a5

31601743013 has 2 divisors, whose sum is σ = 31601743014. Its totient is φ = 31601743012.

The previous prime is 31601743001. The next prime is 31601743073. The reversal of 31601743013 is 31034710613.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22036511809 + 9565231204 = 148447^2 + 97802^2 .

It is an emirp because it is prime and its reverse (31034710613) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31601743013 is a prime.

It is a super-2 number, since 2×316017430132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31601743073) 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, 15800871506 + 15800871507.

It is an arithmetic number, because the mean of its divisors is an integer number (15800871507).

Almost surely, 231601743013 is an apocalyptic number.

It is an amenable number.

31601743013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31601743013 is an equidigital number, since it uses as much as digits as its factorization.

31601743013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 31601743013 in words is "thirty-one billion, six hundred one million, seven hundred forty-three thousand, thirteen".