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21300011460 = 223257131300367
BaseRepresentation
bin10011110101100101…
…000110000111000100
32000222102201200201100
4103311211012013010
5322110300331320
613441325100100
71352556052530
oct236545060704
960872650640
1021300011460
119040334962
1241653b7630
132015b17ba0
141060c0abc0
15849e5e790
hex4f59461c4

21300011460 has 144 divisors (see below), whose sum is σ = 79520103936. Its totient is φ = 4494064896.

The previous prime is 21300011413. The next prime is 21300011461. The reversal of 21300011460 is 6411000312.

It is a happy number.

It is a super-2 number, since 2×213000114602 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21300011461) 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, 633804 + ... + 666563.

It is an arithmetic number, because the mean of its divisors is an integer number (552222944).

Almost surely, 221300011460 is an apocalyptic number.

21300011460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300011460 is an abundant number, since it is smaller than the sum of its proper divisors (58220092476).

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

21300011460 is a wasteful number, since it uses less digits than its factorization.

21300011460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300402 (or 1300397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21300011460 its reverse (6411000312), we get a palindrome (27711011772).

The spelling of 21300011460 in words is "twenty-one billion, three hundred million, eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 1300367 2600734 3901101 5201468 6501835 7802202 9102569 11703303 13003670 15604404 16904771 18205138 19505505 23406606 26007340 27307707 33809542 36410276 39011010 45512845 46813212 50714313 54615414 58516515 67619084 78022020 81923121 84523855 91025690 101428626 109230828 117033030 118333397 136538535 152142939 163846242 169047710 182051380 202857252 234066060 236666794 253571565 273077070 304285878 327692484 338095420 355000191 409615605 473333588 507143130 546154140 591666985 608571756 710000382 760714695 819231210 1014286260 1065000573 1183333970 1420000764 1521429390 1638462420 1775000955 2130001146 2366667940 3042858780 3550001910 4260002292 5325002865 7100003820 10650005730 21300011460