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113213311020 = 22325700189839
BaseRepresentation
bin110100101110000001…
…0100000100000101100
3101211020000211002102100
41221130002200200230
53323330101423040
6124002014055100
711115350160105
oct1513402404054
9354200732370
10113213311020
1144016a65257
1219b36aaa490
13a8a3149384
14569dc753ac
152e29274b30
hex1a5c0a082c

113213311020 has 72 divisors (see below), whose sum is σ = 343466585280. Its totient is φ = 30185568000.

The previous prime is 113213311019. The next prime is 113213311051. The reversal of 113213311020 is 20113312311.

113213311020 is a `hidden beast` number, since 1 + 1 + 321 + 331 + 10 + 2 + 0 = 666.

It is a super-2 number, since 2×1132133110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113213310984 and 113213311002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1215261 + ... + 1305099.

It is an arithmetic number, because the mean of its divisors is an integer number (4770369240).

Almost surely, 2113213311020 is an apocalyptic number.

113213311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113213311020 is an abundant number, since it is smaller than the sum of its proper divisors (230253274260).

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

113213311020 is a wasteful number, since it uses less digits than its factorization.

113213311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96855 (or 96850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113213311020 its reverse (20113312311), we get a palindrome (133326623331).

The spelling of 113213311020 in words is "one hundred thirteen billion, two hundred thirteen million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7001 14002 21003 28004 35005 42006 63009 70010 84012 89839 105015 126018 140020 179678 210030 252036 269517 315045 359356 420060 449195 539034 630090 808551 898390 1078068 1260180 1347585 1617102 1796780 2695170 3234204 4042755 5390340 8085510 16171020 628962839 1257925678 1886888517 2515851356 3144814195 3773777034 5660665551 6289628390 7547554068 9434442585 11321331102 12579256780 18868885170 22642662204 28303327755 37737770340 56606655510 113213311020