Search a number
-
+
123303514553430 = 23531499595344633
BaseRepresentation
bin11100000010010011010110…
…001011110011110001010110
3121011120200220221020011002020
4130002103112023303301112
5112130201044211202210
61114124504054354010
734654246015446231
oct3402232613636126
9534520827204066
10123303514553430
11363197aa4a41a2
12119b506965b906
1353a5618c4c093
142263cc9b74418
15e3c619d8c770
hex7024d62f3c56

123303514553430 has 128 divisors (see below), whose sum is σ = 306144963072000. Its totient is φ = 31750447841280.

The previous prime is 123303514553389. The next prime is 123303514553437. The reversal of 123303514553430 is 34355415303321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123303514553437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2762586394 + ... + 2762631026.

It is an arithmetic number, because the mean of its divisors is an integer number (2391757524000).

Almost surely, 2123303514553430 is an apocalyptic number.

123303514553430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123303514553430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153072481536000).

123303514553430 is an abundant number, since it is smaller than the sum of its proper divisors (182841448518570).

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

123303514553430 is a wasteful number, since it uses less digits than its factorization.

123303514553430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51126.

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 123303514553430 its reverse (34355415303321), we get a palindrome (157658929856751).

The spelling of 123303514553430 in words is "one hundred twenty-three trillion, three hundred three billion, five hundred fourteen million, five hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 499 930 998 1497 2495 2994 4990 5953 7485 11906 14970 15469 17859 29765 30938 35718 44633 46407 59530 77345 89266 89295 92814 133899 154690 178590 184543 223165 232035 267798 369086 446330 464070 553629 669495 922715 1107258 1338990 1383623 1845430 2767246 2768145 2970547 4150869 5536290 5941094 6918115 8301738 8911641 13836230 14852735 17823282 20754345 22271867 29705470 41508690 44543734 44558205 66815601 89116410 92086957 111359335 133631202 184173914 222718670 265700249 276260871 334078005 460434785 531400498 552521742 668156010 690427877 797100747 920869570 1328501245 1380855754 1381304355 1594201494 2071283631 2657002490 2762608710 3452139385 3985503735 4142567262 6904278770 7971007470 8236707719 10356418155 16473415438 20712836310 24710123157 41183538595 49420246314 82367077190 123550615785 132584424251 247101231570 265168848502 397753272753 662922121255 795506545506 1325844242510 1988766363765 3977532727530 4110117151781 8220234303562 12330351455343 20550585758905 24660702910686 41101171517810 61651757276715 123303514553430