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31132012309 is a prime number
BaseRepresentation
bin11100111111100111…
…001100111100010101
32222100122101002022221
4130333213030330111
51002224243343214
622145111022341
72151323511166
oct347747147425
988318332287
1031132012309
11122262336a2
12604a06a9b1
132c21a73978
14171491b76d
15c231d4e24
hex73f9ccf15

31132012309 has 2 divisors, whose sum is σ = 31132012310. Its totient is φ = 31132012308.

The previous prime is 31132012271. The next prime is 31132012361. The reversal of 31132012309 is 90321023113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24080211684 + 7051800625 = 155178^2 + 83975^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132012309 - 217 = 31131881237 is a prime.

It is a super-2 number, since 2×311320123092 (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 (31135012309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566006154 + 15566006155.

It is an arithmetic number, because the mean of its divisors is an integer number (15566006155).

Almost surely, 231132012309 is an apocalyptic number.

It is an amenable number.

31132012309 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132012309 is an equidigital number, since it uses as much as digits as its factorization.

31132012309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 31132012309 in words is "thirty-one billion, one hundred thirty-two million, twelve thousand, three hundred nine".