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113440132520 = 235111388122511
BaseRepresentation
bin110100110100110001…
…1110000110110101000
3101211210211121211000122
41221221203300312220
53324311133220040
6124040315422412
711124103134221
oct1515143606650
9354724554018
10113440132520
1144122aa7640
1219b9aa54a08
13a90b134990
1456c203a248
152e3e12b1b5
hex1a698f0da8

113440132520 has 128 divisors (see below), whose sum is σ = 300216430080. Its totient is φ = 38032896000.

The previous prime is 113440132517. The next prime is 113440132537. The reversal of 113440132520 is 25231044311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 113440132520.

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, 5028065 + ... + 5050575.

It is an arithmetic number, because the mean of its divisors is an integer number (2345440860).

Almost surely, 2113440132520 is an apocalyptic number.

113440132520 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 113440132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150108215040).

113440132520 is an abundant number, since it is smaller than the sum of its proper divisors (186776297560).

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

113440132520 is a wasteful number, since it uses less digits than its factorization.

113440132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23427 (or 23423 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 113440132520 its reverse (25231044311), we get a palindrome (138671176831).

The spelling of 113440132520 in words is "one hundred thirteen billion, four hundred forty million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 881 1144 1430 1762 2860 3524 4405 5720 7048 8810 9691 11453 17620 19382 22511 22906 35240 38764 45022 45812 48455 57265 77528 90044 91624 96910 112555 114530 125983 180088 193820 225110 229060 247621 251966 292643 387640 450220 458120 495242 503932 585286 629915 900440 990484 1007864 1170572 1238105 1259830 1463215 1980968 2341144 2476210 2519660 2926430 3219073 4952420 5039320 5852860 6438146 9904840 11705720 12876292 16095365 19832191 25752584 32190730 39664382 64381460 79328764 99160955 128762920 158657528 198321910 218154101 257818483 396643820 436308202 515636966 793287640 872616404 1031273932 1090770505 1289092415 1745232808 2062547864 2181541010 2578184830 2836003313 4363082020 5156369660 5672006626 8726164040 10312739320 11344013252 14180016565 22688026504 28360033130 56720066260 113440132520