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113223433344 = 273758697177
BaseRepresentation
bin110100101110010100…
…1000111110010000000
3101211020201212100122020
41221130221013302000
53323340144331334
6124003015041440
711115532206210
oct1513451076200
9354221770566
10113223433344
114402174930a
1219b3a370280
13a8a5281808
1456a134c240
152e2a0c3e49
hex1a5ca47c80

113223433344 has 128 divisors (see below), whose sum is σ = 343820457600. Its totient is φ = 32339533824.

The previous prime is 113223433339. The next prime is 113223433357. The reversal of 113223433344 is 443334322311.

It is a happy number.

113223433344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1132234333442 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15772284 + ... + 15779460.

It is an arithmetic number, because the mean of its divisors is an integer number (2686097325).

Almost surely, 2113223433344 is an apocalyptic number.

113223433344 is a gapful number since it is divisible by the number (14) 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 113223433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171910228800).

113223433344 is an abundant number, since it is smaller than the sum of its proper divisors (230597024256).

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

113223433344 is an equidigital number, since it uses as much as digits as its factorization.

113223433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13058 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 113223433344 its reverse (443334322311), we get a palindrome (556557755655).

The spelling of 113223433344 in words is "one hundred thirteen billion, two hundred twenty-three million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5869 7177 11738 14354 17607 21531 23476 28708 35214 41083 43062 46952 50239 57416 70428 82166 86124 93904 100478 114832 123249 140856 150717 164332 172248 187808 200956 229664 246498 281712 301434 328664 344496 375616 401912 459328 492996 563424 602868 657328 688992 751232 803824 918656 985992 1126848 1205736 1314656 1377984 1607648 1971984 2253696 2411472 2629312 2755968 3215296 3943968 4822944 5258624 6430592 7887936 9645888 15775872 19291776 42121813 84243626 126365439 168487252 252730878 294852691 336974504 505461756 589705382 673949008 884558073 1010923512 1179410764 1347898016 1769116146 2021847024 2358821528 2695796032 3538232292 4043694048 4717643056 5391592064 7076464584 8087388096 9435286112 14152929168 16174776192 18870572224 28305858336 37741144448 56611716672 113223433344