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23340434013 = 3313243472531
BaseRepresentation
bin10101101111001100…
…101100001001011101
32020020122010220021000
4111233030230021131
5340300122342023
614420014300513
71454253262401
oct255714541135
966218126230
1023340434013
119998080596
1246347b7739
13227c776200
1411b5bc9101
15919159243
hex56f32c25d

23340434013 has 96 divisors (see below), whose sum is σ = 39144314880. Its totient is φ = 13725391680.

The previous prime is 23340434011. The next prime is 23340434021. The reversal of 23340434013 is 31043404332.

It is not a de Polignac number, because 23340434013 - 21 = 23340434011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23340434011) 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 95 ways as a sum of consecutive naturals, for example, 9220558 + ... + 9223088.

It is an arithmetic number, because the mean of its divisors is an integer number (407753280).

Almost surely, 223340434013 is an apocalyptic number.

It is an amenable number.

23340434013 is a deficient number, since it is larger than the sum of its proper divisors (15803880867).

23340434013 is a wasteful number, since it uses less digits than its factorization.

23340434013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23340434013 its reverse (31043404332), we get a palindrome (54383838345).

The spelling of 23340434013 in words is "twenty-three billion, three hundred forty million, four hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 13 27 39 43 47 117 129 141 169 351 387 423 507 559 611 1161 1269 1521 1677 1833 2021 2531 4563 5031 5499 6063 7267 7593 7943 15093 16497 18189 21801 22779 23829 26273 32903 54567 65403 68337 71487 78819 98709 108833 118957 196209 214461 236457 296127 326499 341549 356871 427739 709371 888381 979497 1024647 1070613 1283217 1414829 1546441 2938491 3073941 3211839 3849651 4244487 4639323 5115151 9221823 11548953 12733461 13917969 15345453 18392777 20103733 38200383 41753907 46036359 55178331 60311199 66496963 138109077 165534993 180933597 199490889 496604979 542800791 598472667 864460519 1795418001 2593381557 7780144671 23340434013