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311220121022113 is a prime number
BaseRepresentation
bin100011011000011011001010…
…0110000101010111010100001
31111210221100112100010210001011
41012300312110300222322201
5311243012301440201423
63021524314433140521
7122360624503533442
oct10660662460527241
91453840470123034
10311220121022113
1190189791909326
122aaa46649ba741
1310486c15616b84
1456bd1c44792c9
1525ea839b61b0d
hex11b0d94c2aea1

311220121022113 has 2 divisors, whose sum is σ = 311220121022114. Its totient is φ = 311220121022112.

The previous prime is 311220121022101. The next prime is 311220121022131.

It is a happy number.

311220121022113 is nontrivially palindromic in base 10.

Together with next prime (311220121022131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301956236564544 + 9263884457569 = 17376888^2 + 3043663^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 311220121022113 - 217 = 311220120891041 is a prime.

It is not a weakly prime, because it can be changed into another prime (311220121022413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155610060511056 + 155610060511057.

It is an arithmetic number, because the mean of its divisors is an integer number (155610060511057).

Almost surely, 2311220121022113 is an apocalyptic number.

It is an amenable number.

311220121022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311220121022113 is an equidigital number, since it uses as much as digits as its factorization.

311220121022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 311220121022113 in words is "three hundred eleven trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred thirteen".