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113352424000 = 2653121311681
BaseRepresentation
bin110100110010001010…
…1001011101001000000
3101211120201120202112221
41221210111023221000
53324121210032000
6124023503500424
711121656464234
oct1514425135100
9354521522487
10113352424000
1144088540962
1219b755b7714
13a8c5c05a4a
1456b45285c4
152e365a361a
hex1a6454ba40

113352424000 has 112 divisors (see below), whose sum is σ = 280972753776. Its totient is φ = 45299712000.

The previous prime is 113352423997. The next prime is 113352424001. The reversal of 113352424000 is 424253311.

It can be written as a sum of positive squares in 8 ways, for example, as 68774013504 + 44578410496 = 262248^2 + 211136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (113352424001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9698160 + ... + 9709840.

Almost surely, 2113352424000 is an apocalyptic number.

113352424000 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 113352424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140486376888).

113352424000 is an abundant number, since it is smaller than the sum of its proper divisors (167620329776).

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

113352424000 is a wasteful number, since it uses less digits than its factorization.

113352424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 113352424000 its reverse (424253311), we get a palindrome (113776677311).

The spelling of 113352424000 in words is "one hundred thirteen billion, three hundred fifty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1213 1600 2000 2426 4000 4852 6065 8000 9704 11681 12130 19408 23362 24260 30325 38816 46724 48520 58405 60650 77632 93448 97040 116810 121300 151625 186896 194080 233620 242600 292025 303250 373792 388160 467240 485200 584050 606500 747584 934480 970400 1168100 1213000 1460125 1868960 1940800 2336200 2426000 2920250 3737920 4672400 4852000 5840500 9344800 9704000 11681000 14169053 18689600 23362000 28338106 46724000 56676212 70845265 93448000 113352424 141690530 226704848 283381060 354226325 453409696 566762120 708452650 906819392 1133524240 1416905300 1771131625 2267048480 2833810600 3542263250 4534096960 5667621200 7084526500 11335242400 14169053000 22670484800 28338106000 56676212000 113352424000