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31103129 is a prime number
BaseRepresentation
bin111011010100…
…1100010011001
32011112012110202
41312221202121
530430300004
63030351545
7525241451
oct166514231
964465422
1031103129
1116614272
12a4bb5b5
1365a0125
1441b8d61
152ae5b1e
hex1da9899

31103129 has 2 divisors, whose sum is σ = 31103130. Its totient is φ = 31103128.

The previous prime is 31103119. The next prime is 31103159. The reversal of 31103129 is 92130113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22992025 + 8111104 = 4795^2 + 2848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31103129 is a prime.

It is a super-3 number, since 3×311031293 (a number of 23 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31103129.

It is not a weakly prime, because it can be changed into another prime (31103119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15551564 + 15551565.

It is an arithmetic number, because the mean of its divisors is an integer number (15551565).

Almost surely, 231103129 is an apocalyptic number.

It is an amenable number.

31103129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31103129 is an equidigital number, since it uses as much as digits as its factorization.

31103129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 31103129 is about 5577.0179307583. The cubic root of 31103129 is about 314.4860317507.

The spelling of 31103129 in words is "thirty-one million, one hundred three thousand, one hundred twenty-nine".