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21320113230 = 232513101180419
BaseRepresentation
bin10011110110110001…
…110001110001001110
32001000211112222011100
4103312301301301032
5322130422110410
613443324003530
71353221654343
oct236661616116
961024488140
1021320113230
119050714699
1241700905a6
13201a035720
1410637607ca
1584bad08c0
hex4f6c71c4e

21320113230 has 96 divisors (see below), whose sum is σ = 60287703840. Its totient is φ = 5196038400.

The previous prime is 21320113207. The next prime is 21320113289. The reversal of 21320113230 is 3231102312.

21320113230 is a `hidden beast` number, since 2 + 1 + 320 + 113 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27961 + ... + 208379.

It is an arithmetic number, because the mean of its divisors is an integer number (627996915).

Almost surely, 221320113230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30143851920).

21320113230 is an abundant number, since it is smaller than the sum of its proper divisors (38967590610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21320113230 is a wasteful number, since it uses less digits than its factorization.

21320113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180546 (or 180543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21320113230 its reverse (3231102312), we get a palindrome (24551215542).

The spelling of 21320113230 in words is "twenty-one billion, three hundred twenty million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 11817 13130 19695 23634 39390 59085 118170 180419 360838 541257 902095 1082514 1623771 1804190 2345447 2706285 3247542 4690894 5412570 7036341 8118855 11727235 14072682 16237710 18222319 21109023 23454470 35181705 36444638 42218046 54666957 70363410 91111595 105545115 109333914 164000871 182223190 211090230 236890147 273334785 328001742 473780294 546669570 710670441 820004355 1184450735 1421340882 1640008710 2132011323 2368901470 3553352205 4264022646 7106704410 10660056615 21320113230