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131330797801224 = 23371950263818569
BaseRepresentation
bin11101110111000111010101…
…100011010000111100001000
3122020000002202002212010220120
4131313013111203100330020
5114203210433214114344
61143152311405223240
736443223412320120
oct3567072543207410
9566002662763816
10131330797801224
11389340956322aa
1212890956561b20
135838597107838
142460631b07c80
15102b337188219
hex7771d58d0f08

131330797801224 has 128 divisors (see below), whose sum is σ = 394988183808000. Its totient is φ = 35547435201024.

The previous prime is 131330797801163. The next prime is 131330797801267. The reversal of 131330797801224 is 422108797033131.

It is a Cunningham number, because it is equal to 114599652-1.

It is a super-2 number, since 2×1313307978012242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160030212 + ... + 160848780.

It is an arithmetic number, because the mean of its divisors is an integer number (3085845186000).

Almost surely, 2131330797801224 is an apocalyptic number.

131330797801224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131330797801224 is an abundant number, since it is smaller than the sum of its proper divisors (263657386006776).

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

131330797801224 is a wasteful number, since it uses less digits than its factorization.

131330797801224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868867 (or 868863 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 131330797801224 in words is "one hundred thirty-one trillion, three hundred thirty billion, seven hundred ninety-seven million, eight hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 50263 100526 150789 201052 301578 351841 402104 603156 703682 818569 954997 1055523 1206312 1407364 1637138 1909994 2111046 2455707 2814728 2864991 3274276 3819988 4222092 4911414 5729982 5729983 6548552 6684979 7639976 8444184 9822828 11459964 11459966 13369958 15552811 17189949 19645656 20054937 22919928 22919932 26739916 31105622 34379898 40109874 45839864 46658433 53479832 62211244 68759796 80219748 93316866 108869677 124422488 137519592 160439496 186633732 217739354 326609031 373267464 435478708 653218062 870957416 1306436124 2612872248 41143733647 82287467294 123431200941 164574934588 246862401882 288006135529 329149869176 493724803764 576012271058 781730939293 864018406587 987449607528 1152024542116 1563461878586 1728036813174 2304049084232 2345192817879 3126923757172 3456073626348 4690385635758 5472116575051 6253847514344 6912147252696 9380771271516 10944233150102 16416349725153 18761542543032 21888466300204 32832699450306 43776932600408 65665398900612 131330797801224