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3122131093 is a prime number
BaseRepresentation
bin1011101000010111…
…1111000010010101
322001120211200200221
42322011333002111
522343231143333
61233450034341
7140240451004
oct27205770225
98046750627
103122131093
1113623a8334
127317189b1
133a9aa6463
14218918c3b
1513416ad2d
hexba17f095

3122131093 has 2 divisors, whose sum is σ = 3122131094. Its totient is φ = 3122131092.

The previous prime is 3122131069. The next prime is 3122131157. The reversal of 3122131093 is 3901312213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2783828644 + 338302449 = 52762^2 + 18393^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122131093 - 29 = 3122130581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122131013) 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, 1561065546 + 1561065547.

It is an arithmetic number, because the mean of its divisors is an integer number (1561065547).

Almost surely, 23122131093 is an apocalyptic number.

It is an amenable number.

3122131093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122131093 is an equidigital number, since it uses as much as digits as its factorization.

3122131093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3122131093 is about 55876.0332611398. The cubic root of 3122131093 is about 1461.5613329272.

The spelling of 3122131093 in words is "three billion, one hundred twenty-two million, one hundred thirty-one thousand, ninety-three".