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21300332420 = 2253728784233
BaseRepresentation
bin10011110101100110…
…010100011110000100
32000222110022222222202
4103311212110132010
5322110341114140
613441340014032
71352561560343
oct236546243604
960873288882
1021300332420
119040534014
124165531318
132015bcacc3
141060c91b5a
15849ec4915
hex4f5994784

21300332420 has 24 divisors (see below), whose sum is σ = 45939637464. Its totient is φ = 8289858816.

The previous prime is 21300332411. The next prime is 21300332429. The reversal of 21300332420 is 2423300312.

It is an interprime number because it is at equal distance from previous prime (21300332411) and next prime (21300332429).

It can be written as a sum of positive squares in 4 ways, for example, as 1682968576 + 19617363844 = 41024^2 + 140062^2 .

It is a super-2 number, since 2×213003324202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21300332392 and 21300332401.

It is not an unprimeable number, because it can be changed into a prime (21300332429) 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 7 ways as a sum of consecutive naturals, for example, 14391377 + ... + 14392856.

It is an arithmetic number, because the mean of its divisors is an integer number (1914151561).

Almost surely, 221300332420 is an apocalyptic number.

21300332420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300332420 is an abundant number, since it is smaller than the sum of its proper divisors (24639305044).

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

21300332420 is a wasteful number, since it uses less digits than its factorization.

21300332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28784279 (or 28784277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 21300332420 its reverse (2423300312), we get a palindrome (23723632732).

The spelling of 21300332420 in words is "twenty-one billion, three hundred million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 28784233 57568466 115136932 143921165 287842330 575684660 1065016621 2130033242 4260066484 5325083105 10650166210 21300332420