Search a number
-
+
232300123102101 = 31747176041550513
BaseRepresentation
bin110100110100011010010110…
…010100011001101110010101
31010110111200012222201221002210
4310310122112110121232111
5220422001123003231401
62142021111525224033
766634062414545625
oct6464322624315625
91113450188657083
10232300123102101
1168021a2449195a
12220793a1262019
139c80a66432c72
144151559088885
151bcc9d521e4d6
hexd34696519b95

232300123102101 has 32 divisors (see below), whose sum is σ = 334933351792128. Its totient is φ = 142654659010560.

The previous prime is 232300123102079. The next prime is 232300123102111. The reversal of 232300123102101 is 101201321003232.

232300123102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232300123102101 - 218 = 232300122839957 is a prime.

It is a super-2 number, since 2×2323001231021012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232300123102111) 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, 421695021 + ... + 422245533.

It is an arithmetic number, because the mean of its divisors is an integer number (10466667243504).

Almost surely, 2232300123102101 is an apocalyptic number.

It is an amenable number.

232300123102101 is a deficient number, since it is larger than the sum of its proper divisors (102633228690027).

232300123102101 is a wasteful number, since it uses less digits than its factorization.

232300123102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726621.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232300123102101 its reverse (101201321003232), we get a palindrome (333501444105333).

The spelling of 232300123102101 in words is "two hundred thirty-two trillion, three hundred billion, one hundred twenty-three million, one hundred two thousand, one hundred one".

Divisors: 1 3 17 47 51 141 799 2397 176041 528123 550513 1651539 2992697 8273927 8978091 9358721 24821781 25874111 28076163 77622333 140656759 421970277 439859887 1319579661 96912859033 290738577099 1647518603561 4554904374551 4942555810683 13664713123653 77433374367367 232300123102101