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331311102030037 is a prime number
BaseRepresentation
bin100101101010100110110000…
…0100010111111000011010101
31121110002000212100102100201001
41023111031200202333003111
5321411200114104430122
63132350115154103301
7126533302651432333
oct11325154042770325
91543060770370631
10331311102030037
11966252819191a8
12311aa38987ab31
13112b366ca3a62c
145bb57859dab53
152848267053527
hex12d53608bf0d5

331311102030037 has 2 divisors, whose sum is σ = 331311102030038. Its totient is φ = 331311102030036.

The previous prime is 331311102030011. The next prime is 331311102030043. The reversal of 331311102030037 is 730030201113133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329458764698001 + 1852337332036 = 18150999^2 + 1361006^2 .

It is an emirp because it is prime and its reverse (730030201113133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331311102030037 - 239 = 330761346216149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331311102029987 and 331311102030014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331311102030737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165655551015018 + 165655551015019.

It is an arithmetic number, because the mean of its divisors is an integer number (165655551015019).

Almost surely, 2331311102030037 is an apocalyptic number.

It is an amenable number.

331311102030037 is a deficient number, since it is larger than the sum of its proper divisors (1).

331311102030037 is an equidigital number, since it uses as much as digits as its factorization.

331311102030037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 331311102030037 in words is "three hundred thirty-one trillion, three hundred eleven billion, one hundred two million, thirty thousand, thirty-seven".