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113113103220 = 223251348338933
BaseRepresentation
bin110100101011000010…
…0001111101101110100
3101210222001021000011100
41221112010033231310
53323123423300340
6123544034210100
711113022341065
oct1512604175564
9353861230140
10113113103220
1143a75441697
1219b09423930
13a888462110
14569082c56c
152e2057d830
hex1a5610fb74

113113103220 has 72 divisors (see below), whose sum is σ = 369502811496. Its totient is φ = 27843224832.

The previous prime is 113113103209. The next prime is 113113103221. The reversal of 113113103220 is 22301311311.

113113103220 is a `hidden beast` number, since 1 + 1 + 31 + 1 + 310 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2180142864 + 110932960356 = 46692^2 + 333066^2 .

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 = 113113103193 and 113113103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113103221) 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 23 ways as a sum of consecutive naturals, for example, 24167127 + ... + 24171806.

It is an arithmetic number, because the mean of its divisors is an integer number (5131983493).

Almost surely, 2113113103220 is an apocalyptic number.

113113103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113113103220 is an abundant number, since it is smaller than the sum of its proper divisors (256389708276).

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

113113103220 is a wasteful number, since it uses less digits than its factorization.

113113103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48338961 (or 48338956 counting only the distinct ones).

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

Adding to 113113103220 its reverse (22301311311), we get a palindrome (135414414531).

The spelling of 113113103220 in words is "one hundred thirteen billion, one hundred thirteen million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 48338933 96677866 145016799 193355732 241694665 290033598 435050397 483389330 580067196 628406129 725083995 870100794 966778660 1256812258 1450167990 1740201588 1885218387 2175251985 2513624516 2900335980 3142030645 3770436774 4350503970 5655655161 6284061290 7540873548 8701007940 9426091935 11311310322 12568122580 18852183870 22622620644 28278275805 37704367740 56556551610 113113103220