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21210010020 = 22325117833389
BaseRepresentation
bin10011110000001101…
…110001000110100100
32000202011101010221200
4103300031301012210
5321414230310040
613424352042500
71350414052623
oct236015610644
960664333850
1021210010020
118aa4552501
12413b233430
1320002953b4
141052c9d6ba
158420d2630
hex4f03711a4

21210010020 has 36 divisors (see below), whose sum is σ = 64337030940. Its totient is φ = 5656002624.

The previous prime is 21210009959. The next prime is 21210010039. The reversal of 21210010020 is 2001001212.

It can be written as a sum of positive squares in 2 ways, for example, as 16435752804 + 4774257216 = 128202^2 + 69096^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21210009984 and 21210010011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58916515 + ... + 58916874.

Almost surely, 221210010020 is an apocalyptic number.

21210010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210010020 is an abundant number, since it is smaller than the sum of its proper divisors (43127020920).

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

21210010020 is a wasteful number, since it uses less digits than its factorization.

21210010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117833404 (or 117833399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21210010020 its reverse (2001001212), we get a palindrome (23211011232).

The spelling of 21210010020 in words is "twenty-one billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117833389 235666778 353500167 471333556 589166945 707000334 1060500501 1178333890 1414000668 1767500835 2121001002 2356667780 3535001670 4242002004 5302502505 7070003340 10605005010 21210010020