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131243132331120 = 24356737692165531
BaseRepresentation
bin11101110101110101101100…
…010010000010010001110000
3122012200201110112210211202110
4131311311230102002101300
5114200241413334043440
61143044132422045320
736434001111161145
oct3565655422022160
9565621415724673
10131243132331120
11388aa999777067
121287796b579840
135830235b5a4c4
14245a2b6ca63cc
151028e05c4e080
hex775d6c482470

131243132331120 has 160 divisors (see below), whose sum is σ = 413035902938880. Its totient is φ = 34466644776960.

The previous prime is 131243132331097. The next prime is 131243132331137. The reversal of 131243132331120 is 21133231342131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 59522755 + ... + 61688285.

It is an arithmetic number, because the mean of its divisors is an integer number (2581474393368).

Almost surely, 2131243132331120 is an apocalyptic number.

131243132331120 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 131243132331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206517951469440).

131243132331120 is an abundant number, since it is smaller than the sum of its proper divisors (281792770607760).

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

131243132331120 is a wasteful number, since it uses less digits than its factorization.

131243132331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169383 (or 2169377 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131243132331120 its reverse (21133231342131), we get a palindrome (152376363673251).

The spelling of 131243132331120 in words is "one hundred thirty-one trillion, two hundred forty-three billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 3769 4020 5360 7538 8040 11307 15076 16080 18845 22614 30152 37690 45228 56535 60304 75380 90456 113070 150760 180912 226140 252523 301520 452280 505046 757569 904560 1010092 1262615 1515138 2020184 2165531 2525230 3030276 3787845 4040368 4331062 5050460 6060552 6496593 7575690 8662124 10100920 10827655 12121104 12993186 15151380 17324248 20201840 21655310 25986372 30302760 32482965 34648496 43310620 51972744 60605520 64965930 86621240 103945488 129931860 145090577 173242480 259863720 290181154 435271731 519727440 580362308 725452885 870543462 1160724616 1450905770 1741086924 2176358655 2321449232 2901811540 3482173848 4352717310 5803623080 6964347696 8161886339 8705434620 11607246160 16323772678 17410869240 24485659017 32647545356 34821738480 40809431695 48971318034 65295090712 81618863390 97942636068 122428295085 130590181424 163237726780 195885272136 244856590170 326475453560 391770544272 489713180340 546846384713 652950907120 979426360680 1093692769426 1640539154139 1958852721360 2187385538852 2734231923565 3281078308278 4374771077704 5468463847130 6562156616556 8202695770695 8749542155408 10936927694260 13124313233112 16405391541390 21873855388520 26248626466224 32810783082780 43747710777040 65621566165560 131243132331120