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23011122103133 is a prime number
BaseRepresentation
bin1010011101101101100011…
…10000100100001101011101
310000110211201122221011100112
411032312301300210031131
511004003234224300013
6120535055154535405
74563333025422443
oct516666160441535
9100424648834315
1023011122103133
117371a6458a48a
1226b7862297565
13cabc2a120548
14597a5c32ab93
1529d88ac37ba8
hex14edb1c2435d

23011122103133 has 2 divisors, whose sum is σ = 23011122103134. Its totient is φ = 23011122103132.

The previous prime is 23011122103087. The next prime is 23011122103147. The reversal of 23011122103133 is 33130122111032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15827960962969 + 7183161140164 = 3978437^2 + 2680142^2 .

It is a cyclic number.

It is not a de Polignac number, because 23011122103133 - 218 = 23011121840989 is a prime.

It is a super-2 number, since 2×230111221031332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23011122103099 and 23011122103108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23011122103153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11505561051566 + 11505561051567.

It is an arithmetic number, because the mean of its divisors is an integer number (11505561051567).

Almost surely, 223011122103133 is an apocalyptic number.

It is an amenable number.

23011122103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

23011122103133 is an equidigital number, since it uses as much as digits as its factorization.

23011122103133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 23011122103133 its reverse (33130122111032), we get a palindrome (56141244214165).

The spelling of 23011122103133 in words is "twenty-three trillion, eleven billion, one hundred twenty-two million, one hundred three thousand, one hundred thirty-three".