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113333021334 = 232133128975393
BaseRepresentation
bin110100110001100101…
…1001010101010010110
3101211112101002000002200
41221203023022222112
53324101223140314
6124021531545330
711121332533551
oct1514313125226
9354471060080
10113333021334
11440785993a5
1219b6abbb246
13a8c1ba1490
1456b1b17698
152e34a1e709
hex1a632caa96

113333021334 has 96 divisors (see below), whose sum is σ = 273119019264. Its totient is φ = 33728901120.

The previous prime is 113333021323. The next prime is 113333021339. The reversal of 113333021334 is 433120333311.

113333021334 is a `hidden beast` number, since 11 + 333 + 302 + 13 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113333021298 and 113333021307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113333021339) 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, 21012142 + ... + 21017534.

It is an arithmetic number, because the mean of its divisors is an integer number (2844989784).

Almost surely, 2113333021334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113333021334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136559509632).

113333021334 is an abundant number, since it is smaller than the sum of its proper divisors (159785997930).

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

113333021334 is a wasteful number, since it uses less digits than its factorization.

113333021334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113333021334 its reverse (433120333311), we get a palindrome (546453354645).

The spelling of 113333021334 in words is "one hundred thirteen billion, three hundred thirty-three million, twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 2897 3627 5393 5794 7254 8691 10786 16179 17382 26073 32358 37661 48537 52146 70109 75322 89807 97074 112983 140218 167183 179614 210327 225966 269421 334366 338949 420654 501549 538842 630981 677898 808263 1003098 1167491 1261962 1504647 1616526 2173379 2334982 3009294 3502473 4346758 6520137 7004946 10507419 13040274 15623521 19560411 21014838 31247042 39120822 46870563 93741126 140611689 203105773 281223378 406211546 484329151 609317319 968658302 1218634638 1452987453 1827951957 2905974906 3655903914 4358962359 6296278963 8717924718 12592557926 18888836889 37777673778 56666510667 113333021334