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113320301220 = 223257194733513
BaseRepresentation
bin110100110001001101…
…0101001001010100100
3101211111111010202101100
41221202122221022210
53324034444114340
6124020355200100
711121116444640
oct1514232511244
9354444122340
10113320301220
11440713a0605
1219b668a6030
13a8bc369799
1456b0165c20
152e3385a830
hex1a626a92a4

113320301220 has 144 divisors (see below), whose sum is σ = 413519783040. Its totient is φ = 24538526208.

The previous prime is 113320301209. The next prime is 113320301231. The reversal of 113320301220 is 22103023311.

113320301220 is a `hidden beast` number, since 11 + 332 + 0 + 301 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113320301209) and next prime (113320301231).

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 = 113320301193 and 113320301202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342817 + ... + 2390696.

It is an arithmetic number, because the mean of its divisors is an integer number (2871665160).

Almost surely, 2113320301220 is an apocalyptic number.

113320301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113320301220 is an abundant number, since it is smaller than the sum of its proper divisors (300199481820).

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

113320301220 is a wasteful number, since it uses less digits than its factorization.

113320301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733554 (or 4733549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113320301220 its reverse (22103023311), we get a palindrome (135423324531).

The spelling of 113320301220 in words is "one hundred thirteen billion, three hundred twenty million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 4733513 9467026 14200539 18934052 23667565 28401078 33134591 42601617 47335130 56802156 66269182 71002695 85203234 89936747 94670260 99403773 132538364 142005390 165672955 170406468 179873494 198807546 213008085 269810241 284010780 298211319 331345910 359746988 397615092 426016170 449683735 497018865 539620482 596422638 629557229 662691820 809430723 852032340 899367470 994037730 1079240964 1192845276 1259114458 1349051205 1491056595 1618861446 1798734940 1888671687 1988075460 2518228916 2698102410 2982113190 3147786145 3237722892 3777343374 4047153615 5396204820 5666015061 5964226380 6295572290 7554686748 8094307230 9443358435 11332030122 12591144580 16188614460 18886716870 22664060244 28330075305 37773433740 56660150610 113320301220