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113303111220 = 2232513203923747
BaseRepresentation
bin110100110000101100…
…1000100011000110100
3101211110021210102010200
41221201121010120310
53324021044024340
6124014542520500
711120520361215
oct1514131043064
9354407712120
10113303111220
114406271a4a2
1219b60b96130
13a8b892b3a0
1456abb6d40c
152e320b2330
hex1a61644634

113303111220 has 144 divisors (see below), whose sum is σ = 370320612480. Its totient is φ = 27875144448.

The previous prime is 113303111191. The next prime is 113303111227. The reversal of 113303111220 is 22111303311.

113303111220 is a `hidden beast` number, since 1 + 1 + 330 + 3 + 111 + 220 = 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 = 113303111193 and 113303111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113303111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4759387 + ... + 4783133.

It is an arithmetic number, because the mean of its divisors is an integer number (2571670920).

Almost surely, 2113303111220 is an apocalyptic number.

113303111220 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 113303111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185160306240).

113303111220 is an abundant number, since it is smaller than the sum of its proper divisors (257017501260).

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

113303111220 is a wasteful number, since it uses less digits than its factorization.

113303111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25814 (or 25809 counting only the distinct ones).

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

Adding to 113303111220 its reverse (22111303311), we get a palindrome (135414414531).

The spelling of 113303111220 in words is "one hundred thirteen billion, three hundred three million, one hundred eleven 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 2039 2340 4078 6117 8156 10195 12234 18351 20390 23747 24468 26507 30585 36702 40780 47494 53014 61170 71241 73404 79521 91755 94988 106028 118735 122340 132535 142482 159042 183510 213723 237470 238563 265070 284964 308711 318084 356205 367020 397605 427446 474940 477126 530140 617422 712410 795210 854892 926133 954252 1068615 1192815 1234844 1424820 1543555 1590420 1852266 2137230 2385630 2778399 3087110 3704532 4274460 4630665 4771260 5556798 6174220 9261330 11113596 13891995 18522660 27783990 48420133 55567980 96840266 145260399 193680532 242100665 290520798 435781197 484201330 581041596 629461729 726301995 871562394 968402660 1258923458 1452603990 1743124788 1888385187 2178905985 2517846916 2905207980 3147308645 3776770374 4357811970 5665155561 6294617290 7553540748 8715623940 9441925935 11330311122 12589234580 18883851870 22660622244 28325777805 37767703740 56651555610 113303111220