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31106129 is a prime number
BaseRepresentation
bin111011010101…
…0010001010001
32011112100120212
41312222101101
530430344004
63030413505
7525253265
oct166522121
964470525
1031106129
111661654a
12a501295
1365a15c2
1441ba0a5
152ae696e
hex1daa451

31106129 has 2 divisors, whose sum is σ = 31106130. Its totient is φ = 31106128.

The previous prime is 31106099. The next prime is 31106219. The reversal of 31106129 is 92160113.

It is a happy number.

Together with next prime (31106219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22344529 + 8761600 = 4727^2 + 2960^2 .

It is an emirp because it is prime and its reverse (92160113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31106129 - 28 = 31105873 is a prime.

It is a super-2 number, since 2×311061292 = 1935182522729282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31106029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15553064 + 15553065.

It is an arithmetic number, because the mean of its divisors is an integer number (15553065).

Almost surely, 231106129 is an apocalyptic number.

It is an amenable number.

31106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31106129 is an equidigital number, since it uses as much as digits as its factorization.

31106129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 31106129 is about 5577.2868852158. The cubic root of 31106129 is about 314.4961424994.

The spelling of 31106129 in words is "thirty-one million, one hundred six thousand, one hundred twenty-nine".