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311113222311313 is a prime number
BaseRepresentation
bin100011010111101001011000…
…1000110011100110110010001
31111210120010121101100121200001
41012233102301012130312101
5311234234334402430223
63021403235150530001
7122350121450510452
oct10657226106346621
91453503541317601
10311113222311313
1190148416320744
122aa879b0806901
1310479b0a7a6a46
1456b7d63107129
1525e7b7ee699ad
hex11af4b119cd91

311113222311313 has 2 divisors, whose sum is σ = 311113222311314. Its totient is φ = 311113222311312.

The previous prime is 311113222311233. The next prime is 311113222311347. The reversal of 311113222311313 is 313113222311113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303912522349569 + 7200699961744 = 17433087^2 + 2683412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311113222311313 is a prime.

It is not a weakly prime, because it can be changed into another prime (311113222351313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556611155656 + 155556611155657.

It is an arithmetic number, because the mean of its divisors is an integer number (155556611155657).

Almost surely, 2311113222311313 is an apocalyptic number.

It is an amenable number.

311113222311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311113222311313 is an equidigital number, since it uses as much as digits as its factorization.

311113222311313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 28.

Adding to 311113222311313 its reverse (313113222311113), we get a palindrome (624226444622426).

The spelling of 311113222311313 in words is "three hundred eleven trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, three hundred thirteen".