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311041930153 is a prime number
BaseRepresentation
bin1001000011010111000…
…10110011001110101001
31002201212001021012100011
410201223202303032221
520044003213231103
6354520220011521
731320623532463
oct4415342631651
91081761235304
10311041930153
1110aa04073909
1250347390ba1
132343c6474a6
14110a9809133
158156c81d6d
hex486b8b33a9

311041930153 has 2 divisors, whose sum is σ = 311041930154. Its totient is φ = 311041930152.

The previous prime is 311041930141. The next prime is 311041930169. The reversal of 311041930153 is 351039140113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300711850384 + 10330079769 = 548372^2 + 101637^2 .

It is an emirp because it is prime and its reverse (351039140113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311041930153 - 233 = 302451995561 is a prime.

It is not a weakly prime, because it can be changed into another prime (311041931153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155520965076 + 155520965077.

It is an arithmetic number, because the mean of its divisors is an integer number (155520965077).

Almost surely, 2311041930153 is an apocalyptic number.

It is an amenable number.

311041930153 is a deficient number, since it is larger than the sum of its proper divisors (1).

311041930153 is an equidigital number, since it uses as much as digits as its factorization.

311041930153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 31.

The spelling of 311041930153 in words is "three hundred eleven billion, forty-one million, nine hundred thirty thousand, one hundred fifty-three".