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112102210122 = 23773791313533
BaseRepresentation
bin110100001100111001…
…1111111101001001010
3101201100121002022112020
41220121303333221022
53314041131210442
6123255443225310
711045666030640
oct1503163775112
9351317068466
10112102210122
11435a6858751
1219886978236
13a756baca16
1455d6487190
152db19499ec
hex1a19cffa4a

112102210122 has 128 divisors (see below), whose sum is σ = 265114460160. Its totient is φ = 30943710720.

The previous prime is 112102210097. The next prime is 112102210133. The reversal of 112102210122 is 221012201211.

It is a super-3 number, since 3×1121022101223 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31728268 + ... + 31731800.

It is an arithmetic number, because the mean of its divisors is an integer number (2071206720).

Almost surely, 2112102210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132557230080).

112102210122 is an abundant number, since it is smaller than the sum of its proper divisors (153012250038).

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

112102210122 is a wasteful number, since it uses less digits than its factorization.

112102210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112102210122 its reverse (221012201211), we get a palindrome (333114411333).

The spelling of 112102210122 in words is "one hundred twelve billion, one hundred two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 79 131 146 158 219 237 262 393 438 474 511 553 786 917 1022 1106 1533 1659 1834 2751 3066 3318 3533 5502 5767 7066 9563 10349 10599 11534 17301 19126 20698 21198 24731 28689 31047 34602 40369 49462 57378 62094 66941 72443 74193 80738 121107 133882 144886 148386 200823 217329 242214 257909 279107 401646 434658 462823 515818 558214 755477 773727 837321 925646 1388469 1510954 1547454 1674642 1805363 1953749 2266431 2776938 3239761 3610726 3907498 4532862 5288339 5416089 5861247 6479522 9719283 10576678 10832178 11722494 15865017 19438566 20374811 31730034 33786079 36563017 40749622 61124433 67572158 73126034 101358237 109689051 122248866 142623677 202716474 219378102 236502553 255941119 285247354 427871031 473005106 511882238 709507659 767823357 855742062 1419015318 1535646714 2669100241 5338200482 8007300723 16014601446 18683701687 37367403374 56051105061 112102210122