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21002022011200 = 265213126263757
BaseRepresentation
bin1001100011001111010100…
…00011111100000101000000
32202100202220000122202001111
410301213222003330011000
510223044120113324300
6112400110135213104
74265226453416206
oct461475203740500
982322800582044
1021002022011200
1167679a89a396a
1224323ba817194
13b946364625b9
1452870904d076
1526649ddab9ba
hex1319ea0fc140

21002022011200 has 42 divisors (see below), whose sum is σ = 51678100415246. Its totient is φ = 8400808803840.

The previous prime is 21002022011171. The next prime is 21002022011207. The reversal of 21002022011200 is 211022020012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 955842539584 + 20046179471616 = 977672^2 + 4477296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002022011207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6563130279 + ... + 6563133478.

Almost surely, 221002022011200 is an apocalyptic number.

21002022011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002022011200 is an abundant number, since it is smaller than the sum of its proper divisors (30676078404046).

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

21002022011200 is a wasteful number, since it uses less digits than its factorization.

21002022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13126263779 (or 13126263764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21002022011200 its reverse (211022020012), we get a palindrome (21213044031212).

The spelling of 21002022011200 in words is "twenty-one trillion, two billion, twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 13126263757 26252527514 52505055028 65631318785 105010110056 131262637570 210020220112 262525275140 328156593925 420040440224 525050550280 656313187850 840080880448 1050101100560 1312626375700 2100202201120 2625252751400 4200404402240 5250505502800 10501011005600 21002022011200