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131011124201340 = 223529280192687239
BaseRepresentation
bin11101110010011101100111…
…100001010000011101111100
3122011212112121111120200200220
4131302131213201100131330
5114132441240243420330
61142345402442421340
736411145534463415
oct3562354741203574
9564775544520626
10131011124201340
1138820562182249
121283aa00501850
1358143b0413686
14244cd87ba680c
151022d77734710
hex77276785077c

131011124201340 has 96 divisors (see below), whose sum is σ = 379494182592000. Its totient is φ = 33730383359232.

The previous prime is 131011124201329. The next prime is 131011124201407. The reversal of 131011124201340 is 43102421110131.

It is a super-3 number, since 3×1310111242013403 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131011124201340.

It is a congruent number.

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, 47409441 + ... + 50096679.

It is an arithmetic number, because the mean of its divisors is an integer number (3953064402000).

Almost surely, 2131011124201340 is an apocalyptic number.

131011124201340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011124201340 is an abundant number, since it is smaller than the sum of its proper divisors (248483058390660).

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

131011124201340 is a wasteful number, since it uses less digits than its factorization.

131011124201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715299 (or 2715297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131011124201340 its reverse (43102421110131), we get a palindrome (174113545311471).

The spelling of 131011124201340 in words is "one hundred thirty-one trillion, eleven billion, one hundred twenty-four million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 28019 56038 84057 112076 140095 168114 280190 336228 420285 560380 812551 840570 1625102 1681140 2437653 2687239 3250204 4062755 4875306 5374478 8061717 8125510 9750612 10748956 12188265 13436195 16123434 16251020 24376530 26872390 32246868 40308585 48753060 53744780 77929931 80617170 155859862 161234340 233789793 311719724 389649655 467579586 779299310 935159172 1168948965 1558598620 2337897930 4675795860 75293749541 150587499082 225881248623 301174998164 376468747705 451762497246 752937495410 903524994492 1129406243115 1505874990820 2183518736689 2258812486230 4367037473378 4517624972460 6550556210067 8734074946756 10917593683445 13101112420134 21835187366890 26202224840268 32752781050335 43670374733780 65505562100670 131011124201340