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131413111413023 = 11593101328576961
BaseRepresentation
bin11101111000010011111111…
…110100110001100100011111
3122020021222012200102212122102
4131320103333310301210133
5114211033023010204043
61143254203331435315
736452166256424456
oct3570237764614437
9566258180385572
10131413111413023
1138965a95507150
12128a48a9155b3b
13584328466c2cb
1424645ddc55b9d
15102d5538166b8
hex7784ffd3191f

131413111413023 has 32 divisors (see below), whose sum is σ = 143814239629632. Its totient is φ = 119088455270400.

The previous prime is 131413111412987. The next prime is 131413111413071. The reversal of 131413111413023 is 320314111314131.

It is a happy number.

It is not a de Polignac number, because 131413111413023 - 216 = 131413111347487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413111413323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18878478263 + ... + 18878485223.

It is an arithmetic number, because the mean of its divisors is an integer number (4494194988426).

Almost surely, 2131413111413023 is an apocalyptic number.

131413111413023 is a deficient number, since it is larger than the sum of its proper divisors (12401128216609).

131413111413023 is a wasteful number, since it uses less digits than its factorization.

131413111413023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131413111413023 its reverse (320314111314131), we get a palindrome (451727222727154).

The spelling of 131413111413023 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thirteen thousand, twenty-three".

Divisors: 1 11 593 1013 2857 6523 6961 11143 31427 76571 600709 1694201 2894141 4127873 6607799 7051493 18636211 19887577 31835551 45406603 77566423 218763347 1716225613 4181535349 11793333161 18878481743 20146115501 45996888839 129726664771 221607270511 11946646492093 131413111413023