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21300012220 = 2252989449919
BaseRepresentation
bin10011110101100101…
…000110010010111100
32000222102201201202111
4103311211012102330
5322110300342340
613441325103404
71352556054664
oct236545062274
960872651674
1021300012220
119040335493
1241653b7b64
132015b18336
141060c0b1a4
15849e5eaea
hex4f59464bc

21300012220 has 96 divisors (see below), whose sum is σ = 46947600000. Its totient is φ = 8106835968.

The previous prime is 21300012127. The next prime is 21300012229. The reversal of 21300012220 is 2221000312.

It is a self number, because there is not a number n which added to its sum of digits gives 21300012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300012229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23176921 + ... + 23177839.

It is an arithmetic number, because the mean of its divisors is an integer number (489037500).

Almost surely, 221300012220 is an apocalyptic number.

21300012220 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 21300012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473800000).

21300012220 is an abundant number, since it is smaller than the sum of its proper divisors (25647587780).

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

21300012220 is a wasteful number, since it uses less digits than its factorization.

21300012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

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

Adding to 21300012220 its reverse (2221000312), we get a palindrome (23521012532).

The spelling of 21300012220 in words is "twenty-one billion, three hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 449 580 890 898 919 1780 1796 1838 2245 2581 3676 4490 4595 5162 8980 9190 10324 12905 13021 18380 25810 26042 26651 39961 51620 52084 53302 65105 79922 81791 106604 130210 133255 159844 163582 199805 260420 266510 327164 399610 408955 412631 533020 799220 817910 825262 1158869 1635820 1650524 2063155 2317738 2371939 4126310 4635476 4743878 5794345 8252620 9487756 11588690 11859695 11966299 23177380 23719390 23932598 36724159 47438780 47865196 59831495 73448318 119662990 146896636 183620795 239325980 367241590 734483180 1065000611 2130001222 4260002444 5325003055 10650006110 21300012220