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21212000020 = 2252301146091
BaseRepresentation
bin10011110000010101…
…010110111100010100
32000202022010020201101
4103300111112330110
5321420233000040
613424502435444
71350440011441
oct236025267424
960668106641
1021212000020
118aa5691632
12413ba32b84
132000811103
14105325a9c8
1584237709a
hex4f0556f14

21212000020 has 24 divisors (see below), whose sum is σ = 44548102368. Its totient is φ = 8484247200.

The previous prime is 21211999979. The next prime is 21212000021. The reversal of 21212000020 is 2000021212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21211999970 and 21212000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212000021) 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, 437175 + ... + 483265.

It is an arithmetic number, because the mean of its divisors is an integer number (1856170932).

Almost surely, 221212000020 is an apocalyptic number.

21212000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212000020 is an abundant number, since it is smaller than the sum of its proper divisors (23336102348).

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

21212000020 is a wasteful number, since it uses less digits than its factorization.

21212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69111 (or 69109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21212000020 its reverse (2000021212), we get a palindrome (23212021232).

The spelling of 21212000020 in words is "twenty-one billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23011 46022 46091 92044 92182 115055 184364 230110 230455 460220 460910 921820 1060600001 2121200002 4242400004 5303000005 10606000010 21212000020