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113222103333234 = 23726712149473117
BaseRepresentation
bin11001101111100110010011…
…001111111111100101110010
3112211212221001001102102002020
4121233212103033333211302
5104320012331423130414
61040445303300332310
732564012161123500
oct3157462317774562
9484787031372066
10113222103333234
1133092251701515
12108472513a4096
134b23a4c4b221c
141dd5d9c6b7670
15d15277b1b7a9
hex66f9933ff972

113222103333234 has 96 divisors (see below), whose sum is σ = 267368822654400. Its totient is φ = 31863658603392.

The previous prime is 113222103333151. The next prime is 113222103333247. The reversal of 113222103333234 is 432333301222311.

113222103333234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113222103333195 and 113222103333204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239074444 + ... + 239547560.

It is an arithmetic number, because the mean of its divisors is an integer number (2785091902650).

Almost surely, 2113222103333234 is an apocalyptic number.

113222103333234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113222103333234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684411327200).

113222103333234 is an abundant number, since it is smaller than the sum of its proper divisors (154146719321166).

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

113222103333234 is a wasteful number, since it uses less digits than its factorization.

113222103333234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485352 (or 485345 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 113222103333234 its reverse (432333301222311), we get a palindrome (545555404555545).

The spelling of 113222103333234 in words is "one hundred thirteen trillion, two hundred twenty-two billion, one hundred three million, three hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6566 9849 12149 19698 24298 36447 72894 85043 170086 255129 473117 510258 595301 813983 946234 1190602 1419351 1627966 1785903 2441949 2838702 3311819 3571806 4883898 5697881 6623638 9935457 11395762 17093643 19870914 23182733 31698839 34187286 39885167 46365466 63397678 69548199 79770334 95096517 119655501 139096398 190193034 221891873 239311002 443783746 665675619 1331351238 1553243111 3106486222 4659729333 5747898433 9319458666 11495796866 17243695299 34487390598 40235289031 80470578062 120705867093 241411734186 281647023217 385109195011 563294046434 770218390022 844941069651 1155327585033 1689882139302 2310655170066 2695764365077 5391528730154 8087293095231 16174586190462 18870350555539 37740701111078 56611051666617 113222103333234