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313131089 is a prime number
BaseRepresentation
bin10010101010100…
…000000001010001
3210211012201002202
4102222200001101
51120130143324
651023252545
710521366425
oct2252400121
9724181082
10313131089
11150833027
1288a4a155
134cb4788b
142d830b85
151c7548ae
hex12aa0051

313131089 has 2 divisors, whose sum is σ = 313131090. Its totient is φ = 313131088.

The previous prime is 313131079. The next prime is 313131107. The reversal of 313131089 is 980131313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310464400 + 2666689 = 17620^2 + 1633^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131089 - 28 = 313130833 is a prime.

It is a super-3 number, since 3×3131310893 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (313131019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565544 + 156565545.

It is an arithmetic number, because the mean of its divisors is an integer number (156565545).

Almost surely, 2313131089 is an apocalyptic number.

It is an amenable number.

313131089 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131089 is an equidigital number, since it uses as much as digits as its factorization.

313131089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 313131089 is about 17695.5104193126. The cubic root of 313131089 is about 679.0609074125.

The spelling of 313131089 in words is "three hundred thirteen million, one hundred thirty-one thousand, eighty-nine".