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116401126131 = 3243929461181
BaseRepresentation
bin110110001101000001…
…1000011101011110011
3102010110012020212122200
41230122003003223303
53401342142014011
6125250212034243
711260346150523
oct1543203035363
9363405225580
10116401126131
11454024459a4
121a686602983
13ac9070c9c4
1458c33ab683
153064067856
hex1b1a0c3af3

116401126131 has 12 divisors (see below), whose sum is σ = 168517961040. Its totient is φ = 77423981040.

The previous prime is 116401126117. The next prime is 116401126201. The reversal of 116401126131 is 131621104611.

116401126131 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 1 + 1 + 2 + 613 + 1 = 666.

It is not a de Polignac number, because 116401126131 - 219 = 116400601843 is a prime.

It is a super-2 number, since 2×1164011261312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116401126095 and 116401126104.

It is not an unprimeable number, because it can be changed into a prime (116401126111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14726640 + ... + 14734541.

It is an arithmetic number, because the mean of its divisors is an integer number (14043163420).

Almost surely, 2116401126131 is an apocalyptic number.

116401126131 is a deficient number, since it is larger than the sum of its proper divisors (52116834909).

116401126131 is a wasteful number, since it uses less digits than its factorization.

116401126131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29461626 (or 29461623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 116401126131 in words is "one hundred sixteen billion, four hundred one million, one hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 439 1317 3951 29461181 88383543 265150629 12933458459 38800375377 116401126131