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22311231013 is a prime number
BaseRepresentation
bin10100110001110110…
…100101111000100101
32010120220111222011101
4110301312211320211
5331143133343023
614125531040101
71416615222511
oct246166457045
963526458141
1022311231013
11950a1210a5
1243a7ba0031
132147482a56
141119239141
158a8b0a1ad
hex531da5e25

22311231013 has 2 divisors, whose sum is σ = 22311231014. Its totient is φ = 22311231012.

The previous prime is 22311231011. The next prime is 22311231017. The reversal of 22311231013 is 31013211322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21073457889 + 1237773124 = 145167^2 + 35182^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311231013 - 21 = 22311231011 is a prime.

It is a super-3 number, since 3×223112310133 (a number of 32 digits) contains 333 as substring.

Together with 22311231011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311231011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155615506 + 11155615507.

It is an arithmetic number, because the mean of its divisors is an integer number (11155615507).

Almost surely, 222311231013 is an apocalyptic number.

It is an amenable number.

22311231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311231013 is an equidigital number, since it uses as much as digits as its factorization.

22311231013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22311231013 its reverse (31013211322), we get a palindrome (53324442335).

The spelling of 22311231013 in words is "twenty-two billion, three hundred eleven million, two hundred thirty-one thousand, thirteen".