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133031522430 = 232561113214439
BaseRepresentation
bin111101111100101001…
…0111111000001111110
3110201101012021112121100
41323321102333001332
54134422032204210
6141040331113530
712416434166112
oct1737122770176
9421335245540
10133031522430
115146690a874
1221947ba28a6
13c710c74ca1
14661dd59742
1536d90825c0
hex1ef94bf07e

133031522430 has 96 divisors (see below), whose sum is σ = 354664889280. Its totient is φ = 34584560640.

The previous prime is 133031522417. The next prime is 133031522483. The reversal of 133031522430 is 34225130331.

133031522430 is a `hidden beast` number, since 133 + 0 + 3 + 1 + 522 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133031522394 and 133031522403.

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, 513151 + ... + 727589.

It is an arithmetic number, because the mean of its divisors is an integer number (3694425930).

Almost surely, 2133031522430 is an apocalyptic number.

133031522430 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 133031522430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177332444640).

133031522430 is an abundant number, since it is smaller than the sum of its proper divisors (221633366850).

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

133031522430 is a wasteful number, since it uses less digits than its factorization.

133031522430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214626 (or 214623 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133031522430 its reverse (34225130331), we get a palindrome (167256652761).

The spelling of 133031522430 in words is "one hundred thirty-three billion, thirty-one million, five hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 113 122 183 226 305 339 366 549 565 610 678 915 1017 1098 1130 1695 1830 2034 2745 3390 5085 5490 6893 10170 13786 20679 34465 41358 62037 68930 103395 124074 206790 214439 310185 428878 620370 643317 1072195 1286634 1929951 2144390 3216585 3859902 6433170 9649755 13080779 19299510 24231607 26161558 39242337 48463214 65403895 72694821 78484674 117727011 121158035 130807790 145389642 196211685 218084463 235454022 242316070 363474105 392423370 436168926 588635055 726948210 1090422315 1177270110 1478128027 2180844630 2956256054 4434384081 7390640135 8868768162 13303152243 14781280270 22171920405 26606304486 44343840810 66515761215 133031522430