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22233102951113 is a prime number
BaseRepresentation
bin1010000111000100011000…
…01101000010001011001001
32220201110112011122012012122
411003202030031002023021
510403231343323413423
6115141425124221025
74453201005641345
oct503421415021311
986643464565178
1022233102951113
1170a200800015a
1225b0b1123a775
13c5375a04b6c2
1456c13339c625
1528850253e8c8
hex14388c3422c9

22233102951113 has 2 divisors, whose sum is σ = 22233102951114. Its totient is φ = 22233102951112.

The previous prime is 22233102951067. The next prime is 22233102951133. The reversal of 22233102951113 is 31115920133222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15738898003984 + 6494204947129 = 3967228^2 + 2548373^2 .

It is a cyclic number.

It is not a de Polignac number, because 22233102951113 - 26 = 22233102951049 is a prime.

It is not a weakly prime, because it can be changed into another prime (22233102951133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11116551475556 + 11116551475557.

It is an arithmetic number, because the mean of its divisors is an integer number (11116551475557).

Almost surely, 222233102951113 is an apocalyptic number.

It is an amenable number.

22233102951113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22233102951113 is an equidigital number, since it uses as much as digits as its factorization.

22233102951113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 22233102951113 in words is "twenty-two trillion, two hundred thirty-three billion, one hundred two million, nine hundred fifty-one thousand, one hundred thirteen".