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113313221440 = 265192980897
BaseRepresentation
bin110100110000111111…
…1101000101101000000
3101211110222211001202021
41221201333220231000
53324031141041230
6124015543331224
711121002330116
oct1514177505500
9354428731667
10113313221440
11440683a5451
1219b64450b14
13a8baa5b173
1456ad241ab6
152e32e0cc7a
hex1a61fe8b40

113313221440 has 84 divisors (see below), whose sum is σ = 284776269156. Its totient is φ = 42939703296.

The previous prime is 113313221419. The next prime is 113313221443. The reversal of 113313221440 is 44122313311.

It can be written as a sum of positive squares in 2 ways, for example, as 22461616384 + 90851605056 = 149872^2 + 301416^2 .

It is a super-2 number, since 2×1133132214402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313221443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374929 + ... + 605968.

Almost surely, 2113313221440 is an apocalyptic number.

113313221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313221440 is an abundant number, since it is smaller than the sum of its proper divisors (171463047716).

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

113313221440 is an equidigital number, since it uses as much as digits as its factorization.

113313221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980952 (or 980923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 113313221440 its reverse (44122313311), we get a palindrome (157435534751).

The spelling of 113313221440 in words is "one hundred thirteen billion, three hundred thirteen million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 57760 115520 980897 1961794 3923588 4904485 7847176 9808970 15694352 18637043 19617940 31388704 37274086 39235880 62777408 74548172 78471760 93185215 149096344 156943520 186370430 298192688 313887040 354103817 372740860 596385376 708207634 745481720 1192770752 1416415268 1490963440 1770519085 2832830536 2981926880 3541038170 5665661072 5963853760 7082076340 11331322144 14164152680 22662644288 28328305360 56656610720 113313221440