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21002120010 = 23251109210421
BaseRepresentation
bin10011100011110100…
…101110101101001010
32000012200012020110200
4103203310232231022
5321003020320020
613352004153030
71342311034404
oct234364565512
960180166420
1021002120010
1189a8170683
1240a1698776
131c991a7a61
141033425b74
1582dc1a590
hex4e3d2eb4a

21002120010 has 48 divisors (see below), whose sum is σ = 54655010280. Its totient is φ = 5595488640.

The previous prime is 21002119987. The next prime is 21002120081. The reversal of 21002120010 is 1002120012.

It can be written as a sum of positive squares in 4 ways, for example, as 14400720009 + 6601400001 = 120003^2 + 81249^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21002119974 and 21002120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5401 + ... + 205020.

Almost surely, 221002120010 is an apocalyptic number.

21002120010 is an abundant number, since it is smaller than the sum of its proper divisors (33652890270).

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

21002120010 is a wasteful number, since it uses less digits than its factorization.

21002120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211543 (or 211540 counting only the distinct ones).

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

Adding to 21002120010 its reverse (1002120012), we get a palindrome (22004240022).

The spelling of 21002120010 in words is "twenty-one billion, two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1109 2218 3327 5545 6654 9981 11090 16635 19962 33270 49905 99810 210421 420842 631263 1052105 1262526 1893789 2104210 3156315 3787578 6312630 9468945 18937890 233356889 466713778 700070667 1166784445 1400141334 2100212001 2333568890 3500353335 4200424002 7000706670 10501060005 21002120010