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21037024900 = 22521731216013
BaseRepresentation
bin10011100101111001…
…111000011010000100
32000022002212120222101
4103211321320122010
5321040434244100
613355252241444
71343213522053
oct234571703204
960262776871
1021037024900
118a159411a1
1240b1310284
131ca34a9438
141037d1039a
15831d1286a
hex4e5e78684

21037024900 has 36 divisors (see below), whose sum is σ = 45914256612. Its totient is φ = 8366162560.

The previous prime is 21037024889. The next prime is 21037024909. The reversal of 21037024900 is 942073012.

It can be written as a sum of positive squares in 6 ways, for example, as 535367044 + 20501657856 = 23138^2 + 143184^2 .

It is not an unprimeable number, because it can be changed into a prime (21037024909) 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 11 ways as a sum of consecutive naturals, for example, 590707 + ... + 625306.

It is an arithmetic number, because the mean of its divisors is an integer number (1275396017).

Almost surely, 221037024900 is an apocalyptic number.

21037024900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21037024900 is an abundant number, since it is smaller than the sum of its proper divisors (24877231712).

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

21037024900 is a wasteful number, since it uses less digits than its factorization.

21037024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216200 (or 1216193 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 21037024900 its reverse (942073012), we get a palindrome (21979097912).

The spelling of 21037024900 in words is "twenty-one billion, thirty-seven million, twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 1216013 2432026 4864052 6080065 12160130 24320260 30400325 60800650 121601300 210370249 420740498 841480996 1051851245 2103702490 4207404980 5259256225 10518512450 21037024900