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123243351552252 = 223261313653274583
BaseRepresentation
bin11100000001011011010100…
…001100001011000011111100
3121011100221122001221000202100
4130001123110030023003330
5112123204340444133002
61114041114124425100
734650016066412361
oct3401332414130374
9534327561830670
10123243351552252
11362a6237004a18
12119a54790a8190
13539ca4b7c03b9
14226101d7b0468
15e3ac9818d11c
hex7016d430b0fc

123243351552252 has 144 divisors (see below), whose sum is σ = 318138116482368. Its totient is φ = 40216729512960.

The previous prime is 123243351552241. The next prime is 123243351552311. The reversal of 123243351552252 is 252255153342321.

123243351552252 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 33 + 515 + 52 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123243351552198 and 123243351552207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448700953 + ... + 448975535.

It is an arithmetic number, because the mean of its divisors is an integer number (2209292475572).

Almost surely, 2123243351552252 is an apocalyptic number.

123243351552252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123243351552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159069058241184).

123243351552252 is an abundant number, since it is smaller than the sum of its proper divisors (194894764930116).

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

123243351552252 is a wasteful number, since it uses less digits than its factorization.

123243351552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275620 (or 275615 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 123243351552252 in words is "one hundred twenty-three trillion, two hundred forty-three billion, three hundred fifty-one million, five hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 313 366 549 626 653 732 939 1098 1252 1306 1878 1959 2196 2612 2817 3756 3918 5634 5877 7836 11268 11754 19093 23508 38186 39833 57279 76372 79666 114558 119499 159332 171837 204389 229116 238998 274583 343674 358497 408778 477996 549166 613167 687348 716994 817556 823749 1098332 1226334 1433988 1647498 1839501 2452668 2471247 3294996 3679002 4942494 7358004 9884988 12467729 16749563 24935458 33499126 37403187 49870916 50248689 66998252 74806374 85944479 100497378 112209561 149612748 150746067 171888958 179302699 200994756 224419122 257833437 301492134 343777916 358605398 448838244 515666874 537908097 602984268 717210796 773500311 1031333748 1075816194 1547000622 1613724291 2151632388 3094001244 3227448582 5242613219 6454897164 10485226438 10937464639 15727839657 20970452876 21874929278 31455679314 32812393917 43749858556 47183518971 56121744787 62911358628 65624787834 94367037942 98437181751 112243489574 131249575668 168365234361 188734075884 196874363502 224486979148 336730468722 393748727004 505095703083 673460937444 1010191406166 2020382812332 3423426432007 6846852864014 10270279296021 13693705728028 20540558592042 30810837888063 41081117184084 61621675776126 123243351552252