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113430020 = 225112329773
BaseRepresentation
bin1101100001011…
…00111000000100
321220102211201212
412300230320010
5213014230040
615131110552
72545065524
oct660547004
9256384655
10113430020
1159034720
1231ba2458
131a666672
14110c9684
159e58d65
hex6c2ce04

113430020 has 96 divisors (see below), whose sum is σ = 280869120. Its totient is φ = 38044160.

The previous prime is 113430011. The next prime is 113430047. The reversal of 113430020 is 20034311.

It is a junction number, because it is equal to n+sod(n) for n = 113429977 and 113430004.

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, 146354 + ... + 147126.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2113430020 is an apocalyptic number.

113430020 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 113430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560).

113430020 is an abundant number, since it is smaller than the sum of its proper divisors (167439100).

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

113430020 is a wasteful number, since it uses less digits than its factorization.

113430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113430020 is about 10650.3530457915. The cubic root of 113430020 is about 484.0713017920.

Adding to 113430020 its reverse (20034311), we get a palindrome (133464331).

The spelling of 113430020 in words is "one hundred thirteen million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 773 1012 1265 1276 1334 1546 1595 2530 2668 3092 3190 3335 3865 5060 6380 6670 7337 7730 8503 13340 14674 15460 17006 17779 22417 29348 34012 35558 36685 42515 44834 71116 73370 85030 88895 89668 112085 146740 170060 177790 195569 224170 246587 355580 391138 448340 493174 515591 782276 977845 986348 1031182 1232935 1955690 2062364 2465870 2577955 3911380 4931740 5155910 5671501 10311820 11343002 22686004 28357505 56715010 113430020