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113213412 = 223213475147
BaseRepresentation
bin1101011111101…
…11111111100100
321220000211121100
412233313333210
5212440312122
615122320100
72543204154
oct657677744
9256024540
10113213412
11589a6a04
1231ab9030
131a5bbbb0
1411070764
159e14aac
hex6bf7fe4

113213412 has 72 divisors (see below), whose sum is σ = 314810496. Its totient is φ = 34087104.

The previous prime is 113213407. The next prime is 113213413. The reversal of 113213412 is 214312311.

113213412 is a `hidden beast` number, since 1 + 1 + 321 + 341 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113213413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19423 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (4372368).

Almost surely, 2113213412 is an apocalyptic number.

113213412 is a gapful number since it is divisible by the number (12) 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 113213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157405248).

113213412 is an abundant number, since it is smaller than the sum of its proper divisors (201597084).

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

113213412 is a wasteful number, since it uses less digits than its factorization.

113213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5212 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113213412 is about 10640.1791338304. The cubic root of 113213412 is about 483.7629750341.

Adding to 113213412 its reverse (214312311), we get a palindrome (327525723).

The spelling of 113213412 in words is "one hundred thirteen million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5147 5499 7332 10294 10998 15441 20588 21996 30882 46323 61764 66911 92646 133822 185292 200733 241909 267644 401466 483818 602199 725727 802932 967636 1204398 1451454 2177181 2408796 2902908 3144817 4354362 6289634 8708724 9434451 12579268 18868902 28303353 37737804 56606706 113213412