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131212023144040 = 235231631753499133
BaseRepresentation
bin11101110101011000101110…
…000001111001111001101000
3122012120202011111101101202101
4131311120232001321321220
5114144234210411102130
61143021545444143144
736431520152353546
oct3565305601717150
9565522144341671
10131212023144040
11388987854133a3
1212871929097ab4
13582a318a48bb7
1424589a540ad96
1510281d4a771ca
hex77562e079e68

131212023144040 has 128 divisors (see below), whose sum is σ = 310130402192640. Its totient is φ = 49866305550336.

The previous prime is 131212023144029. The next prime is 131212023144049. The reversal of 131212023144040 is 40441320212131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131212023144049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262630314 + ... + 263129446.

It is an arithmetic number, because the mean of its divisors is an integer number (2422893767130).

Almost surely, 2131212023144040 is an apocalyptic number.

131212023144040 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 131212023144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155065201096320).

131212023144040 is an abundant number, since it is smaller than the sum of its proper divisors (178918379048600).

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

131212023144040 is a wasteful number, since it uses less digits than its factorization.

131212023144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501083 (or 501079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131212023144040 its reverse (40441320212131), we get a palindrome (171653343356171).

The spelling of 131212023144040 in words is "one hundred thirty-one trillion, two hundred twelve billion, twenty-three million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 163 184 230 326 460 652 815 920 1304 1630 1753 3260 3506 3749 6520 7012 7498 8765 14024 14996 17530 18745 29992 35060 37490 40319 70120 74980 80638 149960 161276 201595 285739 322552 403190 499133 571478 806380 998266 1142956 1428695 1612760 1996532 2285912 2495665 2857390 3993064 4991330 5714780 6571997 9982660 11429560 11480059 13143994 19965320 22960118 26287988 32859985 45920236 52575976 57400295 65719970 81358679 91840472 114800590 131439940 162717358 229601180 262879880 325434716 406793395 459202360 650869432 813586790 874980149 1627173580 1749960298 1871249617 3254347160 3499920596 3742499234 4374900745 6999841192 7484998468 8749801490 9356248085 14969996936 17499602980 18712496170 20124543427 34999205960 37424992340 40249086854 74849984680 80498173708 100622717135 142621764287 160996347416 201245434270 285243528574 402490868540 570487057148 713108821435 804981737080 1140974114296 1426217642870 2852435285740 3280300578601 5704870571480 6560601157202 13121202314404 16401502893005 26242404628808 32803005786010 65606011572020 131212023144040