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31027109441 is a prime number
BaseRepresentation
bin11100111001010111…
…000001111001000001
32222002022222110122112
4130321113001321001
51002020420000231
622130442345105
72145611036006
oct347127017101
988068873575
1031027109441
1112181aa3609
12601aabb195
132c06104673
141704a118ad
15c18db292b
hex7395c1e41

31027109441 has 2 divisors, whose sum is σ = 31027109442. Its totient is φ = 31027109440.

The previous prime is 31027109429. The next prime is 31027109461. The reversal of 31027109441 is 14490172013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26673749041 + 4353360400 = 163321^2 + 65980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31027109441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31027109398 and 31027109407.

It is not a weakly prime, because it can be changed into another prime (31027109461) 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, 15513554720 + 15513554721.

It is an arithmetic number, because the mean of its divisors is an integer number (15513554721).

Almost surely, 231027109441 is an apocalyptic number.

It is an amenable number.

31027109441 is a deficient number, since it is larger than the sum of its proper divisors (1).

31027109441 is an equidigital number, since it uses as much as digits as its factorization.

31027109441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 31027109441 in words is "thirty-one billion, twenty-seven million, one hundred nine thousand, four hundred forty-one".