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113431253504 = 294322722697
BaseRepresentation
bin110100110100100000…
…1111001001000000000
3101211210012220201022012
41221221001321020000
53324301400103004
6124035401232052
711123634513662
oct1515101711000
9354705821265
10113431253504
1144118a92708
1219b97a92628
13a90934641a
1456c0ba8532
152e3d47546e
hex1a69079200

113431253504 has 80 divisors (see below), whose sum is σ = 232943581728. Its totient is φ = 55150190592.

The previous prime is 113431253503. The next prime is 113431253557. The reversal of 113431253504 is 405352134311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (113431253503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4986284 + ... + 5008980.

Almost surely, 2113431253504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113431253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116471790864).

113431253504 is an abundant number, since it is smaller than the sum of its proper divisors (119512328224).

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

113431253504 is an equidigital number, since it uses as much as digits as its factorization.

113431253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22985 (or 22969 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 113431253504 its reverse (405352134311), we get a palindrome (518783387815).

The spelling of 113431253504 in words is "one hundred thirteen billion, four hundred thirty-one million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 227 256 344 454 512 688 908 1376 1816 2752 3632 5504 7264 9761 11008 14528 19522 22016 22697 29056 39044 45394 58112 78088 90788 116224 156176 181576 312352 363152 624704 726304 975971 1249408 1452608 1951942 2498816 2905216 3903884 4997632 5152219 5810432 7807768 10304438 11620864 15615536 20608876 31231072 41217752 62462144 82435504 124924288 164871008 221545417 249848576 329742016 443090834 499697152 659484032 886181668 1318968064 1772363336 2637936128 3544726672 7089453344 14178906688 28357813376 56715626752 113431253504