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113315220 = 22335223941
BaseRepresentation
bin1101100000100…
…00110110010100
321220020000021000
412300100312110
5213002041340
615124423300
72544110034
oct660206624
9256200230
10113315220
1158a66447
1231b47b30
131a626335
14110998c4
159e34d30
hex6c10d94

113315220 has 96 divisors (see below), whose sum is σ = 354493440. Its totient is φ = 30049920.

The previous prime is 113315207. The next prime is 113315243. The reversal of 113315220 is 22513311.

113315220 is a `hidden beast` number, since 113 + 31 + 522 + 0 = 666.

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 = 113315193 and 113315202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119950 + ... + 120890.

It is an arithmetic number, because the mean of its divisors is an integer number (3692640).

Almost surely, 2113315220 is an apocalyptic number.

113315220 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 113315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177246720).

113315220 is an abundant number, since it is smaller than the sum of its proper divisors (241178220).

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

113315220 is a wasteful number, since it uses less digits than its factorization.

113315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113315220 is about 10644.9621887539. The cubic root of 113315220 is about 483.9079407361.

Adding to 113315220 its reverse (22513311), we get a palindrome (135828531).

The spelling of 113315220 in words is "one hundred thirteen million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 223 270 446 540 669 892 941 1115 1338 1882 2007 2230 2676 2823 3345 3764 4014 4460 4705 5646 6021 6690 8028 8469 9410 10035 11292 12042 13380 14115 16938 18820 20070 24084 25407 28230 30105 33876 40140 42345 50814 56460 60210 84690 101628 120420 127035 169380 209843 254070 419686 508140 629529 839372 1049215 1259058 1888587 2098430 2518116 3147645 3777174 4196860 5665761 6295290 7554348 9442935 11331522 12590580 18885870 22663044 28328805 37771740 56657610 113315220