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31293141377 is a prime number
BaseRepresentation
bin11101001001001101…
…110111000110000001
32222202212120021212012
4131021031313012001
51003042021011002
622213104342305
72155321212221
oct351115670601
988685507765
1031293141377
11122a9187313
126094014995
132c4926b304
14172c0a2081
15c32411d52
hex749377181

31293141377 has 2 divisors, whose sum is σ = 31293141378. Its totient is φ = 31293141376.

The previous prime is 31293141353. The next prime is 31293141409. The reversal of 31293141377 is 77314139213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29948379136 + 1344762241 = 173056^2 + 36671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31293141377 is a prime.

It is a super-2 number, since 2×312931413772 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31293141277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15646570688 + 15646570689.

It is an arithmetic number, because the mean of its divisors is an integer number (15646570689).

Almost surely, 231293141377 is an apocalyptic number.

It is an amenable number.

31293141377 is a deficient number, since it is larger than the sum of its proper divisors (1).

31293141377 is an equidigital number, since it uses as much as digits as its factorization.

31293141377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 41.

The spelling of 31293141377 in words is "thirty-one billion, two hundred ninety-three million, one hundred forty-one thousand, three hundred seventy-seven".