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113252321040 = 24352834613617
BaseRepresentation
bin110100101111001011…
…1010100011100010000
3101211022202020000002220
41221132113110130100
53323420043233130
6124005530141040
711116332562665
oct1513627243420
9354282200086
10113252321040
1144036a8a041
1219b47b81780
13a8ab257421
1456a510ba6c
152e2c8cd410
hex1a5e5d4710

113252321040 has 160 divisors (see below), whose sum is σ = 353184644736. Its totient is φ = 30020321280.

The previous prime is 113252321033. The next prime is 113252321041. The reversal of 113252321040 is 40123252311.

It is a super-3 number, since 3×1132523210403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113252321040.

It is not an unprimeable number, because it can be changed into a prime (113252321041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31309312 + ... + 31312928.

Almost surely, 2113252321040 is an apocalyptic number.

113252321040 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 113252321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176592322368).

113252321040 is an abundant number, since it is smaller than the sum of its proper divisors (239932323696).

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

113252321040 is a wasteful number, since it uses less digits than its factorization.

113252321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 113252321040 its reverse (40123252311), we get a palindrome (153375573351).

The spelling of 113252321040 in words is "one hundred thirteen billion, two hundred fifty-two million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283 461 566 849 922 1132 1383 1415 1698 1844 2264 2305 2766 2830 3396 3617 3688 4245 4528 4610 5532 5660 6792 6915 7234 7376 8490 9220 10851 11064 11320 13584 13830 14468 16980 18085 18440 21702 22128 22640 27660 28936 33960 36170 36880 43404 54255 55320 57872 67920 72340 86808 108510 110640 130463 144680 173616 217020 260926 289360 391389 434040 521852 652315 782778 868080 1023611 1043704 1304630 1565556 1667437 1956945 2047222 2087408 2609260 3070833 3131112 3334874 3913890 4094444 5002311 5118055 5218520 6141666 6262224 6669748 7827780 8188888 8337185 10004622 10236110 10437040 12283332 13339496 15354165 15655560 16377776 16674370 20009244 20472220 24566664 25011555 26678992 30708330 31311120 33348740 40018488 40944440 49133328 50023110 61416660 66697480 80036976 81888880 100046220 122833320 133394960 200092440 245666640 400184880 471884671 943769342 1415654013 1887538684 2359423355 2831308026 3775077368 4718846710 5662616052 7078270065 7550154736 9437693420 11325232104 14156540130 18875386840 22650464208 28313080260 37750773680 56626160520 113252321040