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31082266001 is a prime number
BaseRepresentation
bin11100111100101001…
…011011110110010001
32222020011202201020002
4130330221123312101
51002124030003001
622140132455345
72150150621213
oct347451336621
988204681202
1031082266001
1112200146546
12603547a555
132c14676b97
14170c08c5b3
15c1db5a46b
hex73ca5bd91

31082266001 has 2 divisors, whose sum is σ = 31082266002. Its totient is φ = 31082266000.

The previous prime is 31082265959. The next prime is 31082266031. The reversal of 31082266001 is 10066228013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21779856400 + 9302409601 = 147580^2 + 96449^2 .

It is a cyclic number.

It is not a de Polignac number, because 31082266001 - 26 = 31082265937 is a prime.

It is a super-2 number, since 2×310822660012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31082266031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15541133000 + 15541133001.

It is an arithmetic number, because the mean of its divisors is an integer number (15541133001).

Almost surely, 231082266001 is an apocalyptic number.

It is an amenable number.

31082266001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31082266001 is an equidigital number, since it uses as much as digits as its factorization.

31082266001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 31082266001 in words is "thirty-one billion, eighty-two million, two hundred sixty-six thousand, one".