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113232111312 = 24331373204013
BaseRepresentation
bin110100101110100101…
…0001110011011010000
3101211021100012020120110
41221131022032123100
53323344410030222
6124003525041320
711115666031335
oct1513512163320
9354240166513
10113232111312
1144026636191
1219b41256240
13a8a6ccc6c8
1456a256a98c
152e2ac3a30c
hex1a5d28e6d0

113232111312 has 80 divisors (see below), whose sum is σ = 302763304448. Its totient is φ = 36428382720.

The previous prime is 113232111287. The next prime is 113232111329. The reversal of 113232111312 is 213111232311.

It is a super-2 number, since 2×1132321113122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453018 + ... + 657030.

Almost surely, 2113232111312 is an apocalyptic number.

113232111312 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 113232111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151381652224).

113232111312 is an abundant number, since it is smaller than the sum of its proper divisors (189531193136).

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

113232111312 is a wasteful number, since it uses less digits than its factorization.

113232111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204428 (or 204422 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 113232111312 its reverse (213111232311), we get a palindrome (326343343623).

The spelling of 113232111312 in words is "one hundred thirteen billion, two hundred thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 373 496 744 746 1119 1488 1492 2238 2984 4476 5968 8952 11563 17904 23126 34689 46252 69378 92504 138756 185008 204013 277512 408026 555024 612039 816052 1224078 1632104 2448156 3264208 4896312 6324403 9792624 12648806 18973209 25297612 37946418 50595224 75892836 76096849 101190448 151785672 152193698 228290547 303571344 304387396 456581094 608774792 913162188 1217549584 1826324376 2359002319 3652648752 4718004638 7077006957 9436009276 14154013914 18872018552 28308027828 37744037104 56616055656 113232111312