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21300211220 = 22523439710531
BaseRepresentation
bin10011110101100101…
…110110111000010100
32000222110002211201212
4103311211312320110
5322110323224340
613441333240552
71352560544111
oct236545667024
960873084655
1021300211220
119040460a52
124165493158
132015b87aa2
141060c5d908
15849e9da65
hex4f5976e14

21300211220 has 48 divisors (see below), whose sum is σ = 46690293888. Its totient is φ = 8147018880.

The previous prime is 21300211159. The next prime is 21300211223. The reversal of 21300211220 is 2211200312.

It is a happy number.

It is a super-2 number, since 2×213002112202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21300211195 and 21300211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300211223) 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 15 ways as a sum of consecutive naturals, for example, 2017355 + ... + 2027885.

It is an arithmetic number, because the mean of its divisors is an integer number (972714456).

Almost surely, 221300211220 is an apocalyptic number.

21300211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300211220 is an abundant number, since it is smaller than the sum of its proper divisors (25390082668).

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

21300211220 is a wasteful number, since it uses less digits than its factorization.

21300211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21300211220 its reverse (2211200312), we get a palindrome (23511411532).

The spelling of 21300211220 in words is "twenty-one billion, three hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 4397 8794 10531 17588 21062 21985 42124 43970 52655 87940 101131 105310 202262 210620 242213 404524 484426 505655 968852 1011310 1211065 2022620 2422130 4844260 46304807 92609614 185219228 231524035 463048070 926096140 1065010561 2130021122 4260042244 5325052805 10650105610 21300211220