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131320135113024 = 26311134782930329
BaseRepresentation
bin11101110110111101011010…
…000000010101100101000000
3122012222002020000010110110210
4131312331122000111211000
5114203022114042104044
61143143345350554120
736442365240054444
oct3566753200254500
9565862200113423
10131320135113024
113892a6138428a0
121288a87b668940
135837588043090
14245dcdd960824
15102ae110281b9
hex776f5a015940

131320135113024 has 112 divisors (see below), whose sum is σ = 408194406083520. Its totient is φ = 36732904919040.

The previous prime is 131320135113017. The next prime is 131320135113049. The reversal of 131320135113024 is 420311531023131.

It is a super-2 number, since 2×1313201351130242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131320135112982 and 131320135113000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391437709 + ... + 2391492620.

It is an arithmetic number, because the mean of its divisors is an integer number (3644592911460).

Almost surely, 2131320135113024 is an apocalyptic number.

It is an amenable number.

131320135113024 is an abundant number, since it is smaller than the sum of its proper divisors (276874270970496).

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

131320135113024 is a wasteful number, since it uses less digits than its factorization.

131320135113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782930368 (or 4782930358 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 131320135113024 its reverse (420311531023131), we get a palindrome (551631666136155).

The spelling of 131320135113024 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred thirty-five million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 4782930329 9565860658 14348790987 19131721316 28697581974 38263442632 52612233619 57395163948 62178094277 76526885264 105224467238 114790327896 124356188554 153053770528 157836700857 186534282831 210448934476 229580655792 248712377108 306107541056 315673401714 373068565662 420897868952 459161311584 497424754216 631346803428 683959037047 746137131324 841795737904 918322623168 994849508432 1262693606856 1367918074094 1492274262648 1683591475808 1989699016864 2051877111141 2525387213712 2735836148188 2984548525296 3367182951616 3979398033728 4103754222282 5050774427424 5471672296376 5969097050592 8207508444564 10101548854848 10943344592752 11938194101184 16415016889128 21886689185504 32830033778256 43773378371008 65660067556512 131320135113024