Search a number
-
+
23300015013 = 3311232148301
BaseRepresentation
bin10101101100110010…
…100000001110100101
32020010211002101211000
4111230302200032211
5340204300440023
614412012103513
71453252600632
oct255462401645
966124071730
1023300015013
119977284160
124623164b99
132274293a42
1411b06a7189
15915823243
hex56cca03a5

23300015013 has 48 divisors (see below), whose sum is σ = 39365282880. Its totient is φ = 13507164000.

The previous prime is 23300015003. The next prime is 23300015027. The reversal of 23300015013 is 31051000332.

It is a de Polignac number, because none of the positive numbers 2k-23300015013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300015003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82963 + ... + 231263.

It is an arithmetic number, because the mean of its divisors is an integer number (820110060).

Almost surely, 223300015013 is an apocalyptic number.

23300015013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23300015013 is a deficient number, since it is larger than the sum of its proper divisors (16065267867).

23300015013 is a wasteful number, since it uses less digits than its factorization.

23300015013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148367 (or 148338 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 23300015013 its reverse (31051000332), we get a palindrome (54351015345).

The spelling of 23300015013 in words is "twenty-three billion, three hundred million, fifteen thousand, thirteen".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 529 621 759 1587 2277 4761 5819 6831 14283 17457 52371 148301 157113 444903 1334709 1631311 3410923 4004127 4893933 10232769 14681799 30698307 37520153 44045397 78451229 92094921 112560459 235353687 337681377 706061061 862963519 1013044131 2118183183 2588890557 7766671671 23300015013