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131143112021124 = 223271583335997871
BaseRepresentation
bin11101110100011000100010…
…100110110101010010000100
3122012100011021221221122102200
4131310120202212311102010
5114142122043134133444
61142530151451434500
736423530366442630
oct3564304246652204
9565304257848380
10131143112021124
1138871532929845
12128604b6a55a30
135823986089518
142455509279dc0
1510264eed51969
hex7746229b5484

131143112021124 has 144 divisors (see below), whose sum is σ = 379213942947840. Its totient is φ = 37434260283840.

The previous prime is 131143112021083. The next prime is 131143112021137. The reversal of 131143112021124 is 421120211341131.

131143112021124 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 431 + 1 + 202 + 1 + 1 + 24 = 666.

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, 1339909909 + ... + 1340007779.

It is an arithmetic number, because the mean of its divisors is an integer number (2633430159360).

Almost surely, 2131143112021124 is an apocalyptic number.

131143112021124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131143112021124 is an abundant number, since it is smaller than the sum of its proper divisors (248070830926716).

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

131143112021124 is a wasteful number, since it uses less digits than its factorization.

131143112021124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102830 (or 102825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131143112021124 its reverse (421120211341131), we get a palindrome (552263323362255).

The spelling of 131143112021124 in words is "one hundred thirty-one trillion, one hundred forty-three billion, one hundred twelve million, twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1583 3166 3359 4749 6332 6718 9498 10077 11081 13436 14247 18996 20154 22162 23513 28494 30231 33243 40308 44324 47026 56988 60462 66486 70539 94052 97871 99729 120924 132972 141078 195742 199458 211617 282156 293613 391484 398916 423234 587226 685097 846468 880839 1174452 1370194 1761678 2055291 2740388 3523356 4110582 5317297 6165873 8221164 10634594 12331746 15951891 21269188 24663492 31903782 37221079 47855673 63807564 74442158 95711346 111663237 148884316 154929793 191422692 223326474 309859586 328748689 334989711 446652948 464789379 619719172 657497378 669979422 929578758 986246067 1084508551 1314994756 1339958844 1394368137 1859157516 1972492134 2169017102 2301240823 2788736274 2958738201 3253525653 3944984268 4338034204 4602481646 5577472548 5917476402 6507051306 6903722469 9204963292 9760576959 11834952804 13014102612 13807444938 19521153918 20711167407 27614889876 39042307836 41422334814 82844669628 520409174687 1040818349374 1561227524061 2081636698748 3122455048122 3642864222809 4683682572183 6244910096244 7285728445618 9367365144366 10928592668427 14571456891236 18734730288732 21857185336854 32785778005281 43714370673708 65571556010562 131143112021124