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21242300020 = 2251762477353
BaseRepresentation
bin10011110010001000…
…111100011001110100
32000211102010122111121
4103302020330121310
5322001012100040
613431504113324
71351255366564
oct236210743164
960742118447
1021242300020
1190107a7457
12414a005844
132006b8c7c6
1410572a6da4
15844d5ec4a
hex4f223c674

21242300020 has 24 divisors (see below), whose sum is σ = 47232879624. Its totient is φ = 7997101056.

The previous prime is 21242299943. The next prime is 21242300021. The reversal of 21242300020 is 2000324212.

It can be written as a sum of positive squares in 4 ways, for example, as 2743035876 + 18499264144 = 52374^2 + 136012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21242299967 and 21242300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242300021) 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, 31238337 + ... + 31239016.

It is an arithmetic number, because the mean of its divisors is an integer number (1968036651).

Almost surely, 221242300020 is an apocalyptic number.

21242300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242300020 is an abundant number, since it is smaller than the sum of its proper divisors (25990579604).

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

21242300020 is a wasteful number, since it uses less digits than its factorization.

21242300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62477379 (or 62477377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21242300020 its reverse (2000324212), we get a palindrome (23242624232).

The spelling of 21242300020 in words is "twenty-one billion, two hundred forty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 62477353 124954706 249909412 312386765 624773530 1062115001 1249547060 2124230002 4248460004 5310575005 10621150010 21242300020