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113310331456 = 267260112
BaseRepresentation
bin110100110000111010…
…0100111001001000000
3101211110210101020102211
41221201310213021000
53324024421101311
6124015401351504
711120635632400
oct1514164471100
9354423336384
10113310331456
1144066801133
1219b63498594
13a8ba28890a
1456acacc800
152e32a3b821
hex1a61d27240

113310331456 has 63 divisors (see below), whose sum is σ = 261603944787. Its totient is φ = 48553491840.

The previous prime is 113310331451. The next prime is 113310331457. The reversal of 113310331456 is 654133013311.

The square root of 113310331456 is 336616.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113310331451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18847491 + ... + 18853501.

Almost surely, 2113310331456 is an apocalyptic number.

113310331456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113310331456 is the 336616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113310331456

113310331456 is an abundant number, since it is smaller than the sum of its proper divisors (148293613331).

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

113310331456 is an frugal number, since it uses more digits than its factorization.

113310331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 113310331456 its reverse (654133013311), we get a palindrome (767443344767).

The spelling of 113310331456 in words is "one hundred thirteen billion, three hundred ten million, three hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 6011 12022 24044 42077 48088 84154 96176 168308 192352 294539 336616 384704 589078 673232 1178156 1346464 2356312 2692928 4712624 9425248 18850496 36132121 72264242 144528484 252924847 289056968 505849694 578113936 1011699388 1156227872 1770473929 2023398776 2312455744 3540947858 4046797552 7081895716 8093595104 14163791432 16187190208 28327582864 56655165728 113310331456