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113430343230 = 232531178722751
BaseRepresentation
bin110100110100011111…
…0011010111000111110
3101211210011012110122100
41221220332122320332
53324301131440410
6124035325525530
711123624003061
oct1515076327076
9354704173570
10113430343230
1144118520816
1219b977138a6
13a9090b7cb9
1456c0a0c8d8
152e3d3458c0
hex1a68f9ae3e

113430343230 has 96 divisors (see below), whose sum is σ = 304616153088. Its totient is φ = 29254680000.

The previous prime is 113430343207. The next prime is 113430343231. The reversal of 113430343230 is 32343034311.

113430343230 is a `hidden beast` number, since 1 + 1 + 34 + 303 + 4 + 323 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113430343194 and 113430343203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113430343231) 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, 4974355 + ... + 4997105.

It is an arithmetic number, because the mean of its divisors is an integer number (3173084928).

Almost surely, 2113430343230 is an apocalyptic number.

113430343230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113430343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152308076544).

113430343230 is an abundant number, since it is smaller than the sum of its proper divisors (191185809858).

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

113430343230 is a wasteful number, since it uses less digits than its factorization.

113430343230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24582 (or 24579 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 113430343230 its reverse (32343034311), we get a palindrome (145773377541).

The spelling of 113430343230 in words is "one hundred thirteen billion, four hundred thirty million, three hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 1787 2790 3574 5361 8935 10722 16083 17870 22751 26805 32166 45502 53610 55397 68253 80415 110794 113755 136506 160830 166191 204759 227510 276985 332382 341265 409518 498573 553970 682530 705281 830955 997146 1023795 1410562 1661910 2047590 2115843 2492865 3526405 4231686 4985730 6347529 7052810 10579215 12695058 21158430 31737645 40656037 63475290 81312074 121968111 203280185 243936222 365904333 406560370 609840555 731808666 1219681110 1260337147 1829521665 2520674294 3659043330 3781011441 6301685735 7562022882 11343034323 12603371470 18905057205 22686068646 37810114410 56715171615 113430343230