Search a number
-
+
131121152012232 = 23341719959813023
BaseRepresentation
bin11101110100000100000101…
…101100000010111111001000
3122012021001121112022121110000
4131310010011230002333020
5114141242104403342412
61142512120424323000
736422122244444244
oct3564040554027710
9565231545277400
10131121152012232
1138863193a98068
12128581a8613460
1358218965ca015
142454424949424
151025b66ec24dc
hex774105b02fc8

131121152012232 has 160 divisors (see below), whose sum is σ = 390818298816000. Its totient is φ = 40929333198336.

The previous prime is 131121152012183. The next prime is 131121152012273. The reversal of 131121152012232 is 232210251121131.

131121152012232 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 11 + 520 + 122 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131121152012196 and 131121152012205.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27714328 + ... + 32098695.

It is an arithmetic number, because the mean of its divisors is an integer number (2442614367600).

Almost surely, 2131121152012232 is an apocalyptic number.

131121152012232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131121152012232 is an abundant number, since it is smaller than the sum of its proper divisors (259697146803768).

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

131121152012232 is a wasteful number, since it uses less digits than its factorization.

131121152012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59813257 (or 59813244 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 131121152012232 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, one hundred fifty-two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 199 204 216 306 324 398 408 459 597 612 648 796 918 1194 1224 1377 1592 1791 1836 2388 2754 3383 3582 3672 4776 5373 5508 6766 7164 10149 10746 11016 13532 14328 16119 20298 21492 27064 30447 32238 40596 42984 60894 64476 81192 91341 121788 128952 182682 243576 274023 365364 548046 730728 1096092 2192184 59813023 119626046 179439069 239252092 358878138 478504184 538317207 717756276 1016821391 1076634414 1435512552 1614951621 2033642782 2153268828 3050464173 3229903242 4067285564 4306537656 4844854863 6100928346 6459806484 8134571128 9151392519 9689709726 11902791577 12201856692 12919612968 18302785038 19379419452 23805583154 24403713384 27454177557 35708374731 36605570076 38758838904 47611166308 54908355114 71416749462 73211140152 82362532671 95222332616 107125124193 109816710228 142833498924 164725065342 202347456809 214250248386 219633420456 285666997848 321375372579 329450130684 404694913618 428500496772 607042370427 642750745158 658900261368 809389827236 857000993544 964126117737 1214084740854 1285501490316 1618779654472 1821127111281 1928252235474 2428169481708 2571002980632 3642254222562 3856504470948 4856338963416 5463381333843 7284508445124 7713008941896 10926762667686 14569016890248 16390144001529 21853525335372 32780288003058 43707050670744 65560576006116 131121152012232