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113022103220 = 225131972206601
BaseRepresentation
bin110100101000010100…
…1000110111010110100
3101210201201000201121222
41221100221012322310
53322432124300340
6123531023525512
711110536012005
oct1512051067264
9353651021558
10113022103220
1143a29037a84
1219aa2a59898
13a87264cc70
1456827011ac
152e175a58b5
hex1a50a46eb4

113022103220 has 48 divisors (see below), whose sum is σ = 256901431248. Its totient is φ = 41519385600.

The previous prime is 113022103177. The next prime is 113022103279. The reversal of 113022103220 is 22301220311.

113022103220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11803953316 + 101218149904 = 108646^2 + 318148^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052081 + ... + 1154520.

It is an arithmetic number, because the mean of its divisors is an integer number (5352113151).

Almost surely, 2113022103220 is an apocalyptic number.

113022103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113022103220 is an abundant number, since it is smaller than the sum of its proper divisors (143879328028).

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

113022103220 is a wasteful number, since it uses less digits than its factorization.

113022103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206820 (or 2206818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113022103220 its reverse (22301220311), we get a palindrome (135323323531).

The spelling of 113022103220 in words is "one hundred thirteen billion, twenty-two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 51220 2206601 4413202 8826404 11033005 22066010 28685813 44132020 57371626 114743252 143429065 286858130 434700397 573716260 869400794 1738801588 2173501985 4347003970 5651105161 8694007940 11302210322 22604420644 28255525805 56511051610 113022103220