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116931156771 = 311131971972083
BaseRepresentation
bin110110011100110100…
…0111101101100100011
3102011211010121020000010
41230321220331230203
53403433334004041
6125414544300003
711306443301412
oct1547150755443
9364733536003
10116931156771
1145654653850
121a7b4011603
13b04647a9c0
14593393d479
153095863a16
hex1b39a3db23

116931156771 has 128 divisors (see below), whose sum is σ = 197631221760. Its totient is φ = 60441292800.

The previous prime is 116931156739. The next prime is 116931156779. The reversal of 116931156771 is 177651139611.

It is not a de Polignac number, because 116931156771 - 25 = 116931156739 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116931156771.

It is not an unprimeable number, because it can be changed into a prime (116931156779) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56134896 + ... + 56136978.

It is an arithmetic number, because the mean of its divisors is an integer number (1543993920).

Almost surely, 2116931156771 is an apocalyptic number.

116931156771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116931156771 is a deficient number, since it is larger than the sum of its proper divisors (80700064989).

116931156771 is a wasteful number, since it uses less digits than its factorization.

116931156771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297.

The product of its digits is 238140, while the sum is 48.

The spelling of 116931156771 in words is "one hundred sixteen billion, nine hundred thirty-one million, one hundred fifty-six thousand, seven hundred seventy-one".

Divisors: 1 3 11 13 19 33 39 57 71 97 143 209 213 247 291 429 627 741 781 923 1067 1261 1349 1843 2083 2343 2717 2769 3201 3783 4047 5529 6249 6887 8151 10153 13871 14839 17537 20273 20661 22913 23959 27079 30459 39577 41613 44517 52611 60819 68739 71877 75757 81237 89531 118731 130853 147893 192907 202051 227271 263549 268593 297869 392559 435347 443679 514501 578721 606153 790647 893607 984841 1306041 1439383 1543503 1626823 1701089 1922609 2222561 2626663 2809967 2954523 3838969 4318149 4880469 5103267 5659511 5767827 6667683 7879989 8429901 11516907 14345621 16978533 18711979 21148699 28893293 30909637 36529571 42228659 43036863 49906597 56135937 63446097 86679879 92728911 109588713 126685977 149719791 157801831 186493073 272566799 401825281 473405493 548972567 559479219 817700397 1205475843 1646917701 2051423803 2998234789 3543368387 6154271409 8994704367 10630105161 38977052257 116931156771