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113314445520520 = 2357945917810717
BaseRepresentation
bin11001110000111100010011…
…010001011110111010001000
3112212012202101112112120010211
4121300330103101132322020
5104323020441023124040
61040555534310050504
732603461410556426
oct3160742321367210
9485182345476124
10113314445520520
1133118428438582
1210861122649a34
134b2c67762a92a
141dda63c6a6116
15d1787e8ee8ea
hex670f1345ee88

113314445520520 has 64 divisors (see below), whose sum is σ = 258241082803200. Its totient is φ = 44742280677120.

The previous prime is 113314445520517. The next prime is 113314445520539. The reversal of 113314445520520 is 25025544413311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10602202 + ... + 18412918.

It is an arithmetic number, because the mean of its divisors is an integer number (4035016918800).

Almost surely, 2113314445520520 is an apocalyptic number.

113314445520520 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 113314445520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129120541401600).

113314445520520 is an abundant number, since it is smaller than the sum of its proper divisors (144926637282680).

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

113314445520520 is a wasteful number, since it uses less digits than its factorization.

113314445520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815398 (or 7815394 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 113314445520520 its reverse (25025544413311), we get a palindrome (138339989933831).

The spelling of 113314445520520 in words is "one hundred thirteen trillion, three hundred fourteen billion, four hundred forty-five million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4591 9182 18364 22955 36728 45910 91820 183640 362689 725378 1450756 1813445 2901512 3626890 7253780 7810717 14507560 15621434 31242868 39053585 62485736 78107170 156214340 312428680 617046643 1234093286 2468186572 3085233215 4936373144 6170466430 12340932860 24681865720 35859001747 71718003494 143436006988 179295008735 286872013976 358590017470 717180034940 1434360069880 2832861138013 5665722276026 11331444552052 14164305690065 22662889104104 28328611380130 56657222760260 113314445520520