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12242553114 = 231123113149479
BaseRepresentation
bin10110110011011011…
…01000100100011010
31011121012112010200010
423121231220210122
5200033043144424
65342452222350
7612244661451
oct133155504432
934535463603
1012242553114
1152126693a0
12245800a9b6
13120149a78c
14841d19b98
154b9bd3229
hex2d9b6891a

12242553114 has 128 divisors (see below), whose sum is σ = 28366848000. Its totient is φ = 3486264320.

The previous prime is 12242553083. The next prime is 12242553121. The reversal of 12242553114 is 41135524221.

12242553114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122425531142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25558327 + ... + 25558805.

It is an arithmetic number, because the mean of its divisors is an integer number (221616000).

Almost surely, 212242553114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242553114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183424000).

12242553114 is an abundant number, since it is smaller than the sum of its proper divisors (16124294886).

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

12242553114 is a wasteful number, since it uses less digits than its factorization.

12242553114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its digits is 9600, while the sum is 30.

The spelling of 12242553114 in words is "twelve billion, two hundred forty-two million, five hundred fifty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 113 138 149 226 253 298 339 447 479 506 678 759 894 958 1243 1437 1518 1639 2486 2599 2874 3278 3427 3729 4917 5198 5269 6854 7458 7797 9834 10281 10538 11017 15594 15807 16837 20562 22034 28589 31614 33051 33674 37697 50511 54127 57178 66102 71371 75394 85767 101022 108254 113091 121187 142742 162381 171534 185207 214113 226182 242374 324762 363561 370414 387251 428226 555621 595397 727122 774502 785081 1111242 1161753 1190794 1244921 1570162 1641533 1786191 2323506 2355243 2489842 3283066 3572382 3734763 4259761 4710486 4924599 7469526 8064923 8519522 9849198 12779283 13694131 16129846 18056863 24194769 25558566 27388262 36113726 41082393 48389538 54170589 82164786 88714153 108341178 177428306 185493229 266142459 370986458 532284918 556479687 1112959374 2040425519 4080851038 6121276557 12242553114