Search a number
-
+
123300200132303 = 17191379599167269
BaseRepresentation
bin11100000010010000010000…
…101000010010111011001111
3121011120101100221120010001012
4130002100100220102323033
5112130122302213213203
61114123155135035435
734654100621361665
oct3402202050227317
9534511327503035
10123300200132303
11363183595aa587
12119b44a366bb7b
1353a520b38aa4c
142263a938c2c35
15e3c4c3ddbbd8
hex702410a12ecf

123300200132303 has 32 divisors (see below), whose sum is σ = 131803407360000. Its totient is φ = 114942180487680.

The previous prime is 123300200132297. The next prime is 123300200132359. The reversal of 123300200132303 is 303231002003321.

It is a cyclic number.

It is not a de Polignac number, because 123300200132303 - 220 = 123300199083727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300200932303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737053553 + ... + 737220821.

It is an arithmetic number, because the mean of its divisors is an integer number (4118856480000).

Almost surely, 2123300200132303 is an apocalyptic number.

123300200132303 is a deficient number, since it is larger than the sum of its proper divisors (8503207227697).

123300200132303 is a wasteful number, since it uses less digits than its factorization.

123300200132303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168455.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 123300200132303 its reverse (303231002003321), we get a palindrome (426531202135624).

The spelling of 123300200132303 in words is "one hundred twenty-three trillion, three hundred billion, two hundred million, one hundred thirty-two thousand, three hundred three".

Divisors: 1 17 191 379 599 3247 6443 10183 72389 114409 167269 227021 1230613 1944953 2843573 3859357 31948379 43361011 63394951 100194131 543122443 737137187 1077714167 1703300227 12108435641 19137079021 37973575649 205843405897 325330343357 645550786033 7252952948959 123300200132303