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311110011193 is a prime number
BaseRepresentation
bin1001000011011111001…
…10100000100100111001
31002202000210101001222011
410201233212200210321
520044123130324233
6354531051125521
731322411314462
oct4415746404471
91082023331864
10311110011193
1110aa39544133
12503661438a1
1323450793727
14110b488bd69
15815cc2e0cd
hex486f9a0939

311110011193 has 2 divisors, whose sum is σ = 311110011194. Its totient is φ = 311110011192.

The previous prime is 311110011187. The next prime is 311110011211. The reversal of 311110011193 is 391110011113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165183719184 + 145926292009 = 406428^2 + 382003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311110011193 is a prime.

It is not a weakly prime, because it can be changed into another prime (311110011593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155555005596 + 155555005597.

It is an arithmetic number, because the mean of its divisors is an integer number (155555005597).

Almost surely, 2311110011193 is an apocalyptic number.

It is an amenable number.

311110011193 is a deficient number, since it is larger than the sum of its proper divisors (1).

311110011193 is an equidigital number, since it uses as much as digits as its factorization.

311110011193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 311110011193 in words is "three hundred eleven billion, one hundred ten million, eleven thousand, one hundred ninety-three".