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13111001323023 = 389379588122031
BaseRepresentation
bin1011111011001010010010…
…0100111001011000001111
31201102101210020001222121110
42332302210210321120033
53204302312314314043
643515035540103103
72522144556313062
oct276624444713017
951371706058543
1013111001323023
1141a538749769a
121578bbb994a93
13741492766746
1433480c1bc8d9
1517b0a9622b33
hexbeca493960f

13111001323023 has 32 divisors (see below), whose sum is σ = 17728216243200. Its totient is φ = 8617797619200.

The previous prime is 13111001322949. The next prime is 13111001323097. The reversal of 13111001323023 is 32032310011131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13111001322949) and next prime (13111001323097).

It is not a de Polignac number, because 13111001323023 - 218 = 13111001060879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111001324023) 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 in 31 ways as a sum of consecutive naturals, for example, 595105018 + ... + 595127048.

It is an arithmetic number, because the mean of its divisors is an integer number (554006757600).

Almost surely, 213111001323023 is an apocalyptic number.

13111001323023 is a deficient number, since it is larger than the sum of its proper divisors (4617214920177).

13111001323023 is a wasteful number, since it uses less digits than its factorization.

13111001323023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28383.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13111001323023 its reverse (32032310011131), we get a palindrome (45143311334154).

The spelling of 13111001323023 in words is "thirteen trillion, one hundred eleven billion, one million, three hundred twenty-three thousand, twenty-three".

Divisors: 1 3 89 267 379 1137 5881 17643 22031 33731 66093 101193 523409 1570227 1960759 2228899 5882277 6686697 8349749 25049247 129564311 198372011 388692933 595116033 743127661 2229382983 11531223679 34593671037 49104873869 147314621607 4370333774341 13111001323023