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113303334100 = 2252111392233323
BaseRepresentation
bin110100110000101100…
…1111010110011010100
3101211110022012201212111
41221201121322303110
53324021123142400
6124014551400404
711120522310055
oct1514131726324
9354408181774
10113303334100
11440628619a0
1219b61083104
13a8b89a8978
1456abbca72c
152e321083ba
hex1a6167acd4

113303334100 has 144 divisors (see below), whose sum is σ = 271442626560. Its totient is φ = 40709116800.

The previous prime is 113303334083. The next prime is 113303334103. The reversal of 113303334100 is 1433303311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113303334103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34095039 + ... + 34098361.

It is an arithmetic number, because the mean of its divisors is an integer number (1885018240).

Almost surely, 2113303334100 is an apocalyptic number.

113303334100 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 113303334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135721313280).

113303334100 is an abundant number, since it is smaller than the sum of its proper divisors (158139292460).

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

113303334100 is a wasteful number, since it uses less digits than its factorization.

113303334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 113303334100 its reverse (1433303311), we get a palindrome (114736637411).

The spelling of 113303334100 in words is "one hundred thirteen billion, three hundred three million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 223 275 278 446 550 556 695 892 1100 1115 1390 1529 2230 2453 2780 3058 3323 3475 4460 4906 5575 6116 6646 6950 7645 9812 11150 12265 13292 13900 15290 16615 22300 24530 30580 30997 33230 36553 38225 49060 61325 61994 66460 73106 76450 83075 122650 123988 146212 152900 154985 166150 182765 245300 309970 332300 340967 365530 461897 619940 681934 731060 741029 774925 913825 923794 1363868 1482058 1549850 1704835 1827650 1847588 2309485 2964116 3099700 3409670 3655300 3705145 4618970 5080867 6819340 7410290 8151319 8524175 9237940 10161734 11547425 14820580 16302638 17048350 18525725 20323468 23094850 25404335 32605276 34096700 37051450 40756595 46189700 50808670 74102900 81513190 101617340 103003031 127021675 163026380 203782975 206006062 254043350 407565950 412012124 508086700 515015155 815131900 1030030310 1133033341 2060060620 2266066682 2575075775 4532133364 5150151550 5665166705 10300303100 11330333410 22660666820 28325833525 56651667050 113303334100