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131143113032140 = 2251147911519108037
BaseRepresentation
bin11101110100011000100010…
…101010101100000111001100
3122012100011022000212000021201
4131310120202222230013030
5114142122043414012030
61142530151525235244
736423530411153326
oct3564304252540714
9565304260760251
10131143113032140
113887153345a3a0
12128604b7262b24
135823986351761
142455509460616
1510264eeea12ca
hex774622aac1cc

131143113032140 has 96 divisors (see below), whose sum is σ = 301093090099200. Its totient is φ = 47584274699520.

The previous prime is 131143113032119. The next prime is 131143113032171. The reversal of 131143113032140 is 41230311341131.

It is a junction number, because it is equal to n+sod(n) for n = 131143113032099 and 131143113032108.

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, 1213818202 + ... + 1213926238.

It is an arithmetic number, because the mean of its divisors is an integer number (3136386355200).

Almost surely, 2131143113032140 is an apocalyptic number.

131143113032140 is a gapful number since it is divisible by the number (10) 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 131143113032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546545049600).

131143113032140 is an abundant number, since it is smaller than the sum of its proper divisors (169949977067060).

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

131143113032140 is a wasteful number, since it uses less digits than its factorization.

131143113032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120055 (or 120053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131143113032140 its reverse (41230311341131), we get a palindrome (172373424373271).

The spelling of 131143113032140 in words is "one hundred thirty-one trillion, one hundred forty-three billion, one hundred thirteen million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 479 958 1916 2395 4790 5269 9580 10538 11519 21076 23038 26345 46076 52690 57595 105380 108037 115190 126709 216074 230380 253418 432148 506836 540185 633545 1080370 1188407 1267090 2160740 2376814 2534180 4753628 5517601 5942035 11035202 11884070 22070404 23768140 27588005 51749723 55176010 60693611 103499446 110352020 121387222 206998892 242774444 258748615 303468055 517497230 569246953 606936110 1034994460 1138493906 1213872220 1244478203 2276987812 2488956406 2846234765 4977912812 5692469530 6222391015 11384939060 12444782030 13689260233 24889564060 27378520466 54757040932 68446301165 136892602330 273785204660 596105059237 1192210118474 2384420236948 2980525296185 5961050592370 6557155651607 11922101184740 13114311303214 26228622606428 32785778258035 65571556516070 131143113032140