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311202202117 is a prime number
BaseRepresentation
bin1001000011101010001…
…10001100001000000101
31002202021012211212010211
410201311012030020011
520044320230431432
6354544143115421
731324611033622
oct4416506141005
91082235755124
10311202202117
1110aa86591584
1250390ba2b71
1323466901981
14110c2c09349
158165d8ed47
hex487518c205

311202202117 has 2 divisors, whose sum is σ = 311202202118. Its totient is φ = 311202202116.

The previous prime is 311202202081. The next prime is 311202202169. The reversal of 311202202117 is 711202202113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309031480836 + 2170721281 = 555906^2 + 46591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311202202117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311202202517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155601101058 + 155601101059.

It is an arithmetic number, because the mean of its divisors is an integer number (155601101059).

Almost surely, 2311202202117 is an apocalyptic number.

It is an amenable number.

311202202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

311202202117 is an equidigital number, since it uses as much as digits as its factorization.

311202202117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 311202202117 in words is "three hundred eleven billion, two hundred two million, two hundred two thousand, one hundred seventeen".