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232505142004311 = 31119810145774793
BaseRepresentation
bin110100110111011001010010…
…011001011100101001010111
31010111020021102002222021010020
4310313121102121130221113
5220433331012323114221
62142255215424000223
766654641110504611
oct6467312231345127
91114207362867106
10232505142004311
11680a09712a0620
12220b1079760073
139c971aa49b557
14415b44794bdb1
151bd2ed40d0ac6
hexd3765265ca57

232505142004311 has 32 divisors (see below), whose sum is σ = 356032685748480. Its totient is φ = 133479293472000.

The previous prime is 232505142004297. The next prime is 232505142004319. The reversal of 232505142004311 is 113400241505232.

It is not a de Polignac number, because 232505142004311 - 25 = 232505142004279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232505142004319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17808070 + ... + 27966723.

It is an arithmetic number, because the mean of its divisors is an integer number (11126021429640).

Almost surely, 2232505142004311 is an apocalyptic number.

232505142004311 is a deficient number, since it is larger than the sum of its proper divisors (123527543744169).

232505142004311 is a wasteful number, since it uses less digits than its factorization.

232505142004311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45782927.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 232505142004311 its reverse (113400241505232), we get a palindrome (345905383509543).

The spelling of 232505142004311 in words is "two hundred thirty-two trillion, five hundred five billion, one hundred forty-two million, four thousand, three hundred eleven".

Divisors: 1 3 11 19 33 57 209 627 8101 24303 89111 153919 267333 461757 1693109 5079327 45774793 137324379 503522723 869721067 1510568169 2609163201 9566931737 28700795211 370821598093 1112464794279 4079037579023 7045610363767 12237112737069 21136831091301 77501714001437 232505142004311