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131323424123144 = 2311191731889240341
BaseRepresentation
bin11101110111000000011110…
…000010111010100100001000
3122012222101201012222111011102
4131313000132002322210020
5114203100333033420034
61143145052001520532
736442542605145311
oct3567003602724410
9565871635874142
10131323424123144
1138930a51360880
121288b439043148
135837990578106
1424601326b9608
15102b054b5997e
hex77701e0ba908

131323424123144 has 128 divisors (see below), whose sum is σ = 284539932432000. Its totient is φ = 56193876172800.

The previous prime is 131323424123123. The next prime is 131323424123173. The reversal of 131323424123144 is 441321424323131.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 131323424123098 and 131323424123107.

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, 546284414 + ... + 546524754.

It is an arithmetic number, because the mean of its divisors is an integer number (2222968222125).

Almost surely, 2131323424123144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131323424123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142269966216000).

131323424123144 is an abundant number, since it is smaller than the sum of its proper divisors (153216508308856).

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

131323424123144 is a wasteful number, since it uses less digits than its factorization.

131323424123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242439 (or 242435 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

Adding to 131323424123144 its reverse (441321424323131), we get a palindrome (572644848446275).

The spelling of 131323424123144 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, four hundred twenty-four million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 173 209 346 418 692 836 1384 1672 1889 1903 3287 3778 3806 6574 7556 7612 13148 15112 15224 20779 26296 35891 36157 41558 71782 72314 83116 143564 144628 166232 240341 287128 289256 326797 394801 480682 653594 789602 961364 1307188 1579204 1922728 2614376 2643751 3158408 3594767 4566479 5287502 6209143 7189534 9132958 10575004 12418286 14379068 18265916 21150008 24836572 28758136 36531832 41578993 49673144 50231269 68300573 83157986 100462538 136601146 166315972 200925076 273202292 332631944 401850152 454004149 457368923 546404584 790000867 908008298 914737846 1580001734 1816016596 1829475692 3160003468 3632033192 3658951384 4994045639 6320006936 8626078831 8690009537 9988091278 17252157662 17380019074 19976182556 34504315324 34760038148 39952365112 69008630648 69520076296 78542717777 94886867141 157085435554 189773734282 314170871108 379547468564 628341742216 759094937128 863969895547 1492311637763 1727939791094 2984623275526 3455879582188 5969246551052 6911759164376 11938493102104 16415428015393 32830856030786 65661712061572 131323424123144