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11313400230 = 23251115837219
BaseRepresentation
bin10101000100101010…
…01100100110100110
31002012110011021112100
422202111030212212
5141132212301410
65110341232530
7550233213066
oct124225144646
932173137470
1011313400230
114886135050
122238a02746
1310b3b37882
147947713a6
154633488c0
hex2a254c9a6

11313400230 has 96 divisors (see below), whose sum is σ = 32113635840. Its totient is φ = 2740530240.

The previous prime is 11313400213. The next prime is 11313400237. The reversal of 11313400230 is 3200431311.

11313400230 is a `hidden beast` number, since 1 + 1 + 31 + 3 + 400 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313400237) 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, 1563561 + ... + 1570779.

It is an arithmetic number, because the mean of its divisors is an integer number (334517040).

Almost surely, 211313400230 is an apocalyptic number.

11313400230 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 11313400230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056817920).

11313400230 is an abundant number, since it is smaller than the sum of its proper divisors (20800235610).

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

11313400230 is a wasteful number, since it uses less digits than its factorization.

11313400230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8823 counting only the distinct ones).

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

Adding to 11313400230 its reverse (3200431311), we get a palindrome (14513831541).

The spelling of 11313400230 in words is "eleven billion, three hundred thirteen million, four hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1583 3166 4749 7219 7915 9498 14247 14438 15830 17413 21657 23745 28494 34826 36095 43314 47490 52239 64971 71235 72190 79409 87065 104478 108285 129942 142470 156717 158818 174130 216570 238227 261195 313434 324855 397045 476454 522390 649710 714681 783585 794090 1191135 1429362 1567170 2382270 3573405 7146810 11427677 22855354 34283031 57138385 68566062 102849093 114276770 125704447 171415155 205698186 251408894 342830310 377113341 514245465 628522235 754226682 1028490930 1131340023 1257044470 1885566705 2262680046 3771133410 5656700115 11313400230