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123113204214 = 237111323518719
BaseRepresentation
bin111001010101000011…
…1100110100111110110
3102202202222012202211020
41302222013212213312
54004113440013324
6132320223122010
711615600653350
oct1625207464766
9382688182736
10123113204214
1148237215570
121ba3a443306
13b7c0186540
145d5c9ba0d0
15330845b679
hex1caa1e69f6

123113204214 has 128 divisors (see below), whose sum is σ = 330776248320. Its totient is φ = 29501712000.

The previous prime is 123113204147. The next prime is 123113204233. The reversal of 123113204214 is 412402311321.

It is a super-2 number, since 2×1231132042142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 14115747 + ... + 14124465.

It is an arithmetic number, because the mean of its divisors is an integer number (2584189440).

Almost surely, 2123113204214 is an apocalyptic number.

123113204214 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 123113204214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165388124160).

123113204214 is an abundant number, since it is smaller than the sum of its proper divisors (207663044106).

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

123113204214 is a wasteful number, since it uses less digits than its factorization.

123113204214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123113204214 its reverse (412402311321), we get a palindrome (535515515535).

The spelling of 123113204214 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2351 3003 4702 6006 7053 8719 14106 16457 17438 25861 26157 30563 32914 49371 51722 52314 61033 61126 77583 91689 95909 98742 113347 122066 155166 181027 183099 183378 191818 213941 226694 287727 336193 340041 362054 366198 427882 543081 575454 641823 671363 672386 680082 793429 1008579 1086162 1246817 1283646 1342726 1586858 2014089 2017158 2353351 2380287 2493634 3740451 4028178 4706702 4760574 7060053 7480902 8727719 14120106 17455438 20498369 26183157 40996738 52366314 61495107 122990214 143488583 225482059 266478797 286977166 430465749 450964118 532957594 676446177 799436391 860931498 1352892354 1578374413 1598872782 1865351579 2931266767 3156748826 3730703158 4735123239 5596054737 5862533534 8793800301 9470246478 11192109474 17587600602 20518867369 41037734738 61556602107 123113204214