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117131931132 = 223172921439239
BaseRepresentation
bin110110100010110011…
…0110110110111111100
3102012100010101121122120
41231011212312313330
53404341233244012
6125450515442540
711314431662406
oct1550546666774
9365303347576
10117131931132
1145747a15577
121a84b2b6450
13b078c465b8
145952483b76
1530a82c258c
hex1b459b6dfc

117131931132 has 96 divisors (see below), whose sum is σ = 299535667200. Its totient is φ = 35459730432.

The previous prime is 117131931127. The next prime is 117131931151. The reversal of 117131931132 is 231139131711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117131931093 and 117131931102.

It is a congruent number.

It is an unprimeable number.

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, 12673369 + ... + 12682607.

It is an arithmetic number, because the mean of its divisors is an integer number (3120163200).

Almost surely, 2117131931132 is an apocalyptic number.

117131931132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117131931132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767833600).

117131931132 is an abundant number, since it is smaller than the sum of its proper divisors (182403736068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117131931132 is a wasteful number, since it uses less digits than its factorization.

117131931132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11433 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The spelling of 117131931132 in words is "one hundred seventeen billion, one hundred thirty-one million, nine hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2143 2958 4286 5916 6429 8572 9239 12858 18478 25716 27717 36431 36956 55434 62147 72862 109293 110868 124294 145724 157063 186441 218586 248588 267931 314126 372882 437172 471189 535862 628252 745764 803793 942378 1056499 1071724 1607586 1884756 2112998 3169497 3215172 4225996 4554827 6338994 9109654 12677988 13664481 18219308 19799177 27328962 39598354 54657924 59397531 79196708 118795062 237590124 336586009 574176133 673172018 1009758027 1148352266 1346344036 1722528399 2019516054 2296704532 3445056798 4039032108 6890113596 9760994261 19521988522 29282982783 39043977044 58565965566 117131931132