Search a number
-
+
123340431032 = 237135314292237
BaseRepresentation
bin111001011011110101…
…0011001111010111000
3102210100210210002102022
41302313222121322320
54010100122243112
6132354541254012
711624330236250
oct1626752317270
9383323702368
10123340431032
1148343504425
121baa2564308
13b828284490
145d80c48960
15331d392d72
hex1cb7a99eb8

123340431032 has 128 divisors (see below), whose sum is σ = 290334844800. Its totient is φ = 47818487808.

The previous prime is 123340431017. The next prime is 123340431059. The reversal of 123340431032 is 230134043321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 123340430992 and 123340431010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55135418 + ... + 55137654.

It is an arithmetic number, because the mean of its divisors is an integer number (2268240975).

Almost surely, 2123340431032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123340431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145167422400).

123340431032 is an abundant number, since it is smaller than the sum of its proper divisors (166994413768).

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

123340431032 is a wasteful number, since it uses less digits than its factorization.

123340431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 123340431032 its reverse (230134043321), we get a palindrome (353474474353).

The spelling of 123340431032 in words is "one hundred twenty-three billion, three hundred forty million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 689 728 742 1378 1429 1484 2237 2756 2858 2968 4474 4823 5512 5716 8948 9646 10003 11432 15659 17896 18577 19292 20006 29081 31318 37154 38584 40012 58162 62636 74308 75737 80024 116324 118561 125272 130039 148616 151474 203567 232648 237122 260078 302948 407134 474244 520156 530159 605896 814268 829927 948488 984581 1040312 1060318 1541293 1628536 1659854 1969162 2120636 3082586 3196673 3319708 3938324 4241272 6165172 6393346 6639416 6892067 7876648 10789051 12330344 12786692 13784134 21578102 22376711 25573384 27568268 41556749 43156204 44753422 55136536 83113498 86312408 89506844 166226996 169423669 179013688 290897243 332453992 338847338 581794486 677694676 1163588972 1185965683 1355389352 2202507697 2327177944 2371931366 4405015394 4743862732 8810030788 9487725464 15417553879 17620061576 30835107758 61670215516 123340431032