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112537316340 = 2232510742113879
BaseRepresentation
bin110100011001110111…
…1110010101111110100
3101202110220211000001100
41220303233302233310
53320434023110330
6123410545130100
711062531256121
oct1506357625764
9352426730040
10112537316340
11437aa421469
1219988629930
13a7c6093517
145638189748
152dd9c45060
hex1a33bf2bf4

112537316340 has 144 divisors (see below), whose sum is σ = 345396804480. Its totient is φ = 29656730880.

The previous prime is 112537316303. The next prime is 112537316371. The reversal of 112537316340 is 43613735211.

112537316340 is a `hidden beast` number, since 1 + 12 + 5 + 3 + 7 + 3 + 1 + 634 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112537316295 and 112537316304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8101521 + ... + 8115399.

It is an arithmetic number, because the mean of its divisors is an integer number (2398588920).

Almost surely, 2112537316340 is an apocalyptic number.

112537316340 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 112537316340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172698402240).

112537316340 is an abundant number, since it is smaller than the sum of its proper divisors (232859488140).

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

112537316340 is a wasteful number, since it uses less digits than its factorization.

112537316340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 112537316340 in words is "one hundred twelve billion, five hundred thirty-seven million, three hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 421 428 535 642 842 963 1070 1263 1284 1605 1684 1926 2105 2140 2526 3210 3789 3852 4210 4815 5052 6315 6420 7578 8420 9630 12630 13879 15156 18945 19260 25260 27758 37890 41637 45047 55516 69395 75780 83274 90094 124911 135141 138790 166548 180188 208185 225235 249822 270282 277580 405423 416370 450470 499644 540564 624555 675705 810846 832740 900940 1249110 1351410 1485053 1621692 2027115 2498220 2702820 2970106 4054230 4455159 5843059 5940212 7425265 8108460 8910318 11686118 13365477 14850530 17529177 17820636 22275795 23372236 26730954 29215295 29701060 35058354 44551590 52587531 53461908 58430590 66827385 70116708 87645885 89103180 105175062 116861180 133654770 175291770 210350124 262937655 267309540 350583540 525875310 625207313 1051750620 1250414626 1875621939 2500829252 3126036565 3751243878 5626865817 6252073130 7502487756 9378109695 11253731634 12504146260 18756219390 22507463268 28134329085 37512438780 56268658170 112537316340