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131123132441424 = 24329912207416333
BaseRepresentation
bin11101110100000101111011…
…101110110010001101010000
3122012021020201112211211120100
4131310011323232302031100
5114141310133401111144
61142513045132012400
736422222313015264
oct3564057356621520
9565236645754510
10131123132441424
113886400a987902
121285865b901100
135821b209b1406
14245457198c0a4
151025c30cbb269
hex77417bbb2350

131123132441424 has 120 divisors (see below), whose sum is σ = 367500273334272. Its totient is φ = 43643717187840.

The previous prime is 131123132441417. The next prime is 131123132441447. The reversal of 131123132441424 is 424144231321131.

131123132441424 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 231 + 3 + 2 + 4 + 414 + 2 + 4 = 666.

It is a super-2 number, since 2×1311231324414242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314739562 + ... + 315155894.

Almost surely, 2131123132441424 is an apocalyptic number.

It is an amenable number.

131123132441424 is an abundant number, since it is smaller than the sum of its proper divisors (236377140892848).

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

131123132441424 is a wasteful number, since it uses less digits than its factorization.

131123132441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419545 (or 419536 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131123132441424 its reverse (424144231321131), we get a palindrome (555267363762555).

The spelling of 131123132441424 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, one hundred thirty-two million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 991 1982 2207 2973 3964 4414 5946 6621 7928 8828 8919 11892 13242 15856 17656 17838 19863 23784 26484 35312 35676 39726 47568 52968 71352 79452 105936 142704 158904 317808 416333 832666 1248999 1665332 2187137 2497998 3330664 3746997 4374274 4995996 6561411 6661328 7493994 8748548 9991992 13122822 14987988 17497096 19684233 19983984 26245644 29975976 34994192 39368466 52491288 59951952 78736932 104982576 157473864 314947728 412586003 825172006 918846931 1237758009 1650344012 1837693862 2475516018 2756540793 3300688024 3675387724 3713274027 4951032036 5513081586 6601376048 7350775448 7426548054 8269622379 9902064072 11026163172 14701550896 14853096108 16539244758 19804128144 22052326344 29706192216 33078489516 44104652688 59412384432 66156979032 132313958064 910577308621 1821154617242 2731731925863 3642309234484 5463463851726 7284618468968 8195195777589 10926927703452 14569236937936 16390391555178 21853855406904 32780783110356 43707710813808 65561566220712 131123132441424