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113233130120 = 2351117104914431
BaseRepresentation
bin110100101110100111…
…0000111001010001000
3101211021102010000010002
41221131032013022020
53323400140130440
6124004002542132
711116010503535
oct1513516071210
9354242100102
10113233130120
1144027171680
1219b41667948
13a8a7298356
1456a2753d8c
152e2ad8c115
hex1a5d387288

113233130120 has 128 divisors (see below), whose sum is σ = 294585984000. Its totient is φ = 38713958400.

The previous prime is 113233130089. The next prime is 113233130141. The reversal of 113233130120 is 21031332311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113233130092 and 113233130101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839305 + ... + 7853735.

It is an arithmetic number, because the mean of its divisors is an integer number (2301453000).

Almost surely, 2113233130120 is an apocalyptic number.

113233130120 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 113233130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147292992000).

113233130120 is an abundant number, since it is smaller than the sum of its proper divisors (181352853880).

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

113233130120 is a wasteful number, since it uses less digits than its factorization.

113233130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15519 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113233130120 its reverse (21031332311), we get a palindrome (134264462431).

The spelling of 113233130120 in words is "one hundred thirteen billion, two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1049 1496 1870 2098 3740 4196 5245 7480 8392 10490 11539 14431 17833 20980 23078 28862 35666 41960 46156 57695 57724 71332 72155 89165 92312 115390 115448 142664 144310 158741 178330 196163 230780 245327 288620 317482 356660 392326 461560 490654 577240 634964 713320 784652 793705 980815 981308 1226635 1269928 1569304 1587410 1961630 1962616 2453270 2698597 3174820 3923260 4906540 5397194 6349640 7846520 9813080 10794388 13492985 15138119 21588776 26985970 30276238 53971940 60552476 75690595 107943880 121104952 151381190 166519309 257348023 302762380 333038618 514696046 605524760 666077236 832596545 1029392092 1286740115 1332154472 1665193090 2058784184 2573480230 2830828253 3330386180 5146960460 5661656506 6660772360 10293920920 11323313012 14154141265 22646626024 28308282530 56616565060 113233130120