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220312113113 is a prime number
BaseRepresentation
bin1100110100101110100…
…0000000111111011001
3210001122221002221110002
43031023220000333121
512102144400104423
6245113205102345
721626353030451
oct3151350007731
9701587087402
10220312113113
1185485498444
12368460b79b5
1317a10576211
14a93da10d61
155ae67e3228
hex334ba00fd9

220312113113 has 2 divisors, whose sum is σ = 220312113114. Its totient is φ = 220312113112.

The previous prime is 220312113107. The next prime is 220312113127. The reversal of 220312113113 is 311311213022.

It is a happy number.

220312113113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130271908624 + 90040204489 = 360932^2 + 300067^2 .

It is a cyclic number.

It is not a de Polignac number, because 220312113113 - 24 = 220312113097 is a prime.

It is not a weakly prime, because it can be changed into another prime (220312113193) 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, 110156056556 + 110156056557.

It is an arithmetic number, because the mean of its divisors is an integer number (110156056557).

Almost surely, 2220312113113 is an apocalyptic number.

It is an amenable number.

220312113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220312113113 is an equidigital number, since it uses as much as digits as its factorization.

220312113113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 220312113113 its reverse (311311213022), we get a palindrome (531623326135).

Subtracting 220312113113 from its reverse (311311213022), we obtain a palindrome (90999099909).

The spelling of 220312113113 in words is "two hundred twenty billion, three hundred twelve million, one hundred thirteen thousand, one hundred thirteen".