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113434344312 = 233191201207127
BaseRepresentation
bin110100110100100110…
…1101011101101111000
3101211210102201202002120
41221221031223231320
53324303143004222
6124035551401240
711124003006042
oct1515115535570
9354712652076
10113434344312
114411a8038a3
1219b98b23220
13a909b891c3
1456c1370a92
152e3d88615c
hex1a6936bb78

113434344312 has 64 divisors (see below), whose sum is σ = 298761427200. Its totient is φ = 35791372800.

The previous prime is 113434344311. The next prime is 113434344341. The reversal of 113434344312 is 213443434311.

113434344312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434344311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444093 + ... + 651219.

It is an arithmetic number, because the mean of its divisors is an integer number (4668147300).

Almost surely, 2113434344312 is an apocalyptic number.

113434344312 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 113434344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149380713600).

113434344312 is an abundant number, since it is smaller than the sum of its proper divisors (185327082888).

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

113434344312 is a wasteful number, since it uses less digits than its factorization.

113434344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208356 (or 208352 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 113434344312 its reverse (213443434311), we get a palindrome (326877778623).

The spelling of 113434344312 in words is "one hundred thirteen billion, four hundred thirty-four million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1201 2402 3603 4804 7206 9608 14412 22819 28824 45638 68457 91276 136914 182552 207127 273828 414254 547656 621381 828508 1242762 1657016 2485524 3935413 4971048 7870826 11806239 15741652 23612478 31483304 47224956 94449912 248759527 497519054 746278581 995038108 1492557162 1990076216 2985114324 4726431013 5970228648 9452862026 14179293039 18905724052 28358586078 37811448104 56717172156 113434344312