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123340402242 = 23319676132927
BaseRepresentation
bin111001011011110101…
…0010010111001000010
3102210100210201121221000
41302313222102321002
54010100120332432
6132354540512430
711624330056311
oct1626752227102
9383323647830
10123340402242
1148343494832
121baa254b716
13b828274345
145d80c3c278
15331d38957c
hex1cb7a92e42

123340402242 has 128 divisors (see below), whose sum is σ = 293399654400. Its totient is φ = 38292585408.

The previous prime is 123340402217. The next prime is 123340402303. The reversal of 123340402242 is 242204043321.

123340402242 is a `hidden beast` number, since 1 + 2 + 33 + 404 + 0 + 224 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42137383 + ... + 42140309.

It is an arithmetic number, because the mean of its divisors is an integer number (2292184800).

Almost surely, 2123340402242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123340402242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146699827200).

123340402242 is an abundant number, since it is smaller than the sum of its proper divisors (170059252158).

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

123340402242 is a wasteful number, since it uses less digits than its factorization.

123340402242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 123340402242 its reverse (242204043321), we get a palindrome (365544445563).

The spelling of 123340402242 in words is "one hundred twenty-three billion, three hundred forty million, four hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 114 134 171 201 342 402 513 603 613 1026 1206 1226 1273 1809 1839 2546 2927 3618 3678 3819 5517 5854 7638 8781 11034 11457 11647 16551 17562 22914 23294 26343 33102 34371 34941 41071 52686 55613 68742 69882 79029 82142 104823 111226 123213 158058 166839 196109 209646 246426 314469 333678 369639 392218 500517 588327 628938 739278 780349 1001034 1108917 1176654 1501551 1560698 1764981 1794251 2217834 2341047 3003102 3529962 3588502 3726071 4682094 5294943 5382753 7023141 7452142 10589886 10765506 11178213 14046282 16148259 21069423 22356426 32296518 33534639 34090769 42138846 48444777 67069278 68181538 96889554 100603917 102272307 120214817 201207834 204544614 240429634 306816921 360644451 613633842 721288902 920450763 1081933353 1840901526 2163866706 2284081523 3245800059 4568163046 6491600118 6852244569 13704489138 20556733707 41113467414 61670201121 123340402242