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123433123242 = 2311137913113901
BaseRepresentation
bin111001011110100101…
…1111111110110101010
3102210121021012100020010
41302331023333312222
54010242334420432
6132412052112350
711626534144032
oct1627513776652
9383537170203
10123433123242
1148390864460
121bb096056b6
13b841539940
145d8d2968c2
1533265a23cc
hex1cbd2ffdaa

123433123242 has 128 divisors (see below), whose sum is σ = 295959121920. Its totient is φ = 33827040000.

The previous prime is 123433123241. The next prime is 123433123271. The reversal of 123433123242 is 242321334321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123433123241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8872492 + ... + 8886392.

It is an arithmetic number, because the mean of its divisors is an integer number (2312180640).

Almost surely, 2123433123242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123433123242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147979560960).

123433123242 is an abundant number, since it is smaller than the sum of its proper divisors (172525998678).

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

123433123242 is a wasteful number, since it uses less digits than its factorization.

123433123242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14140.

The product of its digits is 20736, while the sum is 30.

Adding to 123433123242 its reverse (242321334321), we get a palindrome (365754457563).

The spelling of 123433123242 in words is "one hundred twenty-three billion, four hundred thirty-three million, one hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 131 143 158 237 262 286 393 429 474 786 858 869 1027 1441 1703 1738 2054 2607 2882 3081 3406 4323 5109 5214 6162 8646 10218 10349 11297 13901 18733 20698 22594 27802 31047 33891 37466 41703 56199 62094 67782 83406 112398 113839 134537 152911 180713 227678 269074 305822 341517 361426 403611 458733 542139 683034 807222 917466 1084278 1098179 1479907 1821031 1987843 2196358 2959814 3294537 3642062 3975686 4439721 5463093 5963529 6589074 8879442 10926186 11927058 12079969 14276327 20031341 23673403 24159938 28552654 36239907 40062682 42828981 47346806 60094023 71020209 72479814 85657962 120188046 142040418 143861449 157039597 260407433 287722898 314079194 431584347 471118791 520814866 781222299 863168694 942237582 1562444598 1582475939 1870198837 3164951878 3740397674 4747427817 5610596511 9494855634 11221193022 20572187207 41144374414 61716561621 123433123242