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331111110137 is a prime number
BaseRepresentation
bin1001101000101111100…
…00101001010111111001
31011122122200222011200112
410310113300221113321
520411103421011022
6412035500114105
732631145666343
oct4642760512771
91148580864615
10331111110137
11118472653875
1254208535935
13252ba464612
1412050d7c293
15892db158e2
hex4d17c295f9

331111110137 has 2 divisors, whose sum is σ = 331111110138. Its totient is φ = 331111110136.

The previous prime is 331111110119. The next prime is 331111110149. The reversal of 331111110137 is 731011111133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190699029481 + 140412080656 = 436691^2 + 374716^2 .

It is a cyclic number.

It is not a de Polignac number, because 331111110137 - 220 = 331110061561 is a prime.

It is not a weakly prime, because it can be changed into another prime (331111110107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165555555068 + 165555555069.

It is an arithmetic number, because the mean of its divisors is an integer number (165555555069).

Almost surely, 2331111110137 is an apocalyptic number.

It is an amenable number.

331111110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331111110137 is an equidigital number, since it uses as much as digits as its factorization.

331111110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 23.

The spelling of 331111110137 in words is "three hundred thirty-one billion, one hundred eleven million, one hundred ten thousand, one hundred thirty-seven".