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117286131132 = 2232371136771151
BaseRepresentation
bin110110100111011001…
…1000101010110111100
3102012201212112210021200
41231032303011112330
53410200222144012
6125514104455500
711321313444162
oct1551663052674
9365655483250
10117286131132
1145816a66295
121a892a7a590
13b0a1b860c1
145968b43232
1530b6ad13dc
hex1b4ecc55bc

117286131132 has 144 divisors (see below), whose sum is σ = 307901647872. Its totient is φ = 37613721600.

The previous prime is 117286131107. The next prime is 117286131143. The reversal of 117286131132 is 231131682711.

117286131132 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 8 + 613 + 1 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101898757 + ... + 101899907.

It is an arithmetic number, because the mean of its divisors is an integer number (2138205888).

Almost surely, 2117286131132 is an apocalyptic number.

117286131132 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 117286131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153950823936).

117286131132 is an abundant number, since it is smaller than the sum of its proper divisors (190615516740).

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

117286131132 is a wasteful number, since it uses less digits than its factorization.

117286131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1983 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 117286131132 in words is "one hundred seventeen billion, two hundred eighty-six million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 677 678 1017 1151 1332 1354 1356 2031 2034 2302 2708 3453 4062 4068 4181 4604 6093 6906 8124 8362 10359 12186 12543 13812 16724 20718 24372 25049 25086 37629 41436 42587 50098 50172 75147 75258 76501 85174 100196 127761 130063 150294 150516 153002 170348 225441 229503 255522 260126 300588 306004 383283 390189 450882 459006 511044 520252 688509 766566 779227 780378 901764 918012 1170567 1377018 1533132 1558454 1560756 2337681 2341134 2754036 2830537 3116908 4675362 4682268 4812331 5661074 7013043 8491611 9350724 9624662 11322148 14026086 14436993 16983222 19249324 25474833 28052172 28831399 28873986 33966444 43310979 50949666 57662798 57747972 86494197 86621958 88052651 101899332 115325596 172988394 173243916 176105302 259482591 264157953 345976788 352210604 518965182 528315906 792473859 1037930364 1056631812 1584947718 3169895436 3257948087 6515896174 9773844261 13031792348 19547688522 29321532783 39095377044 58643065566 117286131132