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21300022120 = 23513473312633
BaseRepresentation
bin10011110101100101…
…001000101101101000
32000222102202020100011
4103311211020231220
5322110301201440
613441325221304
71352556125566
oct236545105550
960872666304
1021300022120
119040341973
124165401834
132015b1c9b0
141060c10a36
15849e629ea
hex4f5948b68

21300022120 has 128 divisors (see below), whose sum is σ = 52889034240. Its totient is φ = 7671121920.

The previous prime is 21300022063. The next prime is 21300022127. The reversal of 21300022120 is 2122000312.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21300022120.

It is not an unprimeable number, because it can be changed into a prime (21300022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8088324 + ... + 8090956.

It is an arithmetic number, because the mean of its divisors is an integer number (413195580).

Almost surely, 221300022120 is an apocalyptic number.

21300022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26444517120).

21300022120 is an abundant number, since it is smaller than the sum of its proper divisors (31589012120).

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

21300022120 is a wasteful number, since it uses less digits than its factorization.

21300022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21300022120 its reverse (2122000312), we get a palindrome (23422022432).

The spelling of 21300022120 in words is "twenty-one billion, three hundred million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 331 376 470 520 611 662 940 1222 1324 1655 1880 2444 2633 2648 3055 3310 4303 4888 5266 6110 6620 8606 10532 12220 13165 13240 15557 17212 21064 21515 24440 26330 31114 34229 34424 43030 52660 62228 68458 77785 86060 105320 123751 124456 136916 155570 171145 172120 202241 247502 273832 311140 342290 404482 495004 618755 622280 684580 808964 871523 990008 1011205 1237510 1369160 1608763 1617928 1743046 2022410 2475020 3217526 3486092 4044820 4357615 4950040 6435052 6972184 8043815 8089640 8715230 11329799 12870104 16087630 17430460 22659598 32175260 34860920 40961581 45319196 56648995 64350520 81923162 90638392 113297990 163846324 204807905 226595980 327692648 409615810 453191960 532500553 819231620 1065001106 1638463240 2130002212 2662502765 4260004424 5325005530 10650011060 21300022120