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31082266031 is a prime number
BaseRepresentation
bin11100111100101001…
…011011110110101111
32222020011202201021012
4130330221123312233
51002124030003111
622140132455435
72150150621255
oct347451336657
988204681235
1031082266031
1112200146573
12603547a57b
132c14676bbb
14170c08c5d5
15c1db5a48b
hex73ca5bdaf

31082266031 has 2 divisors, whose sum is σ = 31082266032. Its totient is φ = 31082266030.

The previous prime is 31082266001. The next prime is 31082266043. The reversal of 31082266031 is 13066228013.

It is a strong prime.

It is an emirp because it is prime and its reverse (13066228013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31082266031 - 214 = 31082249647 is a prime.

It is a super-2 number, since 2×310822660312 (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 (31082266001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15541133015 + 15541133016.

It is an arithmetic number, because the mean of its divisors is an integer number (15541133016).

Almost surely, 231082266031 is an apocalyptic number.

31082266031 is a deficient number, since it is larger than the sum of its proper divisors (1).

31082266031 is an equidigital number, since it uses as much as digits as its factorization.

31082266031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 31082266031 in words is "thirty-one billion, eighty-two million, two hundred sixty-six thousand, thirty-one".