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31330211117 is a prime number
BaseRepresentation
bin11101001011011011…
…010001010100101101
32222212110022121222112
4131023123101110231
51003131013223432
622220511053405
72156251254242
oct351333212455
988773277875
1031330211117
11123180a6367
1260a4511265
132c53b4a17a
141732d915c9
15c357d57b2
hex74b6d152d

31330211117 has 2 divisors, whose sum is σ = 31330211118. Its totient is φ = 31330211116.

The previous prime is 31330211089. The next prime is 31330211119. The reversal of 31330211117 is 71111203313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28922444356 + 2407766761 = 170066^2 + 49069^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330211117 - 232 = 27035243821 is a prime.

Together with 31330211119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31330211092 and 31330211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31330211119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665105558 + 15665105559.

It is an arithmetic number, because the mean of its divisors is an integer number (15665105559).

Almost surely, 231330211117 is an apocalyptic number.

It is an amenable number.

31330211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330211117 is an equidigital number, since it uses as much as digits as its factorization.

31330211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 31330211117 in words is "thirty-one billion, three hundred thirty million, two hundred eleven thousand, one hundred seventeen".