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123432310242 = 236531918363
BaseRepresentation
bin111001011110100100…
…0111001010111100010
3102210121012200001000000
41302331020321113202
54010242132411432
6132412022440430
711626524216543
oct1627510712742
9383535601000
10123432310242
114839035965a
121bb09293116
13b841313887
145d8d1244ca
15332649157c
hex1cbd2395e2

123432310242 has 112 divisors (see below), whose sum is σ = 284348164608. Its totient is φ = 40151648160.

The previous prime is 123432310147. The next prime is 123432310297. The reversal of 123432310242 is 242013234321.

123432310242 is a `hidden beast` number, since 1 + 2 + 343 + 2 + 310 + 2 + 4 + 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14755153 + ... + 14763515.

Almost surely, 2123432310242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123432310242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142174082304).

123432310242 is an abundant number, since it is smaller than the sum of its proper divisors (160915854366).

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

123432310242 is an equidigital number, since it uses as much as digits as its factorization.

123432310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123432310242 its reverse (242013234321), we get a palindrome (365445544563).

The spelling of 123432310242 in words is "one hundred twenty-three billion, four hundred thirty-two million, three hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 191 243 318 382 477 486 573 729 954 1146 1431 1458 1719 2862 3438 4293 5157 8363 8586 10123 10314 12879 15471 16726 20246 25089 25758 30369 30942 38637 46413 50178 60738 75267 77274 91107 92826 139239 150534 182214 225801 273321 278478 443239 451602 546642 677403 819963 886478 1329717 1354806 1597333 1639926 2032209 2459889 2659434 3194666 3989151 4064418 4791999 4919778 6096627 7379667 7978302 9583998 11967453 12193254 14375997 14759334 23934906 28751994 35902359 43127991 71804718 84658649 86255982 107707077 129383973 169317298 215414154 253975947 258767946 323121231 388151919 507951894 646242462 761927841 776303838 1164455757 1523855682 2285783523 2328911514 4571567046 6857350569 13714701138 20572051707 41144103414 61716155121 123432310242