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131044253220012 = 223111910724563761
BaseRepresentation
bin11101110010111100011110…
…001010011011110010101100
3122011222201010022200012202110
4131302330132022123302230
5114134012112311020022
61142412522052324020
736413430520500606
oct3562743612336254
9564881108605673
10131044253220012
1138833612698320
1212845307313610
13581755cb23bc2
14245080ba00176
151023b65dda00c
hex772f1e29bcac

131044253220012 has 144 divisors (see below), whose sum is σ = 354435630756480. Its totient is φ = 37268759462400.

The previous prime is 131044253219987. The next prime is 131044253220029. The reversal of 131044253220012 is 210022352440131.

It is a happy 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, 26432212 + ... + 30995972.

It is an arithmetic number, because the mean of its divisors is an integer number (2461358546920).

Almost surely, 2131044253220012 is an apocalyptic number.

131044253220012 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 131044253220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177217815378240).

131044253220012 is an abundant number, since it is smaller than the sum of its proper divisors (223391377536468).

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

131044253220012 is a wasteful number, since it uses less digits than its factorization.

131044253220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564012 (or 4563903 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 131044253220012 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-three million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 107 114 132 209 214 228 321 418 428 627 642 836 1177 1254 1284 2033 2354 2508 3531 4066 4708 6099 7062 8132 11449 12198 14124 22363 22898 24396 34347 44726 45796 67089 68694 89452 125939 134178 137388 217531 251878 268356 377817 435062 503756 652593 755634 870124 1305186 1511268 2392841 2610372 4563761 4785682 7178523 9127522 9571364 13691283 14357046 18255044 27382566 28714092 50201371 54765132 86711459 100402742 150604113 173422918 200805484 260134377 301208226 346845836 488322427 520268754 602416452 953826049 976644854 1040537508 1464967281 1907652098 1953289708 2861478147 2929934562 3815304196 5371546697 5722956294 5859869124 9278126113 10743093394 11445912588 16114640091 18556252226 21486186788 27834378339 32229280182 37112504452 52250499689 55668756678 64458560364 102059387243 104500999378 111337513356 156751499067 204118774486 209001998756 306178161729 313502998134 408237548972 574755496579 612356323458 627005996268 992759494091 1149510993158 1224712646916 1724266489737 1985518988182 2299021986316 2978278482273 3448532979474 3971037976364 5956556964546 6897065958948 10920354435001 11913113929092 21840708870002 32761063305003 43681417740004 65522126610006 131044253220012