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21202122011220 = 22325117789566729
BaseRepresentation
bin1001101001000100000001…
…11100110111001001010100
32210001220101100002221210100
410310202000330313021110
510234333421213324340
6113032042000454100
74315542230355363
oct464420074671124
983056340087710
1021202122011220
116834851156607
12246514391a330
13baa4753c5287
1453428c5217da
1526b7b0ed5830
hex134880f37254

21202122011220 has 36 divisors (see below), whose sum is σ = 64313103434580. Its totient is φ = 5653899202944.

The previous prime is 21202122011209. The next prime is 21202122011243. The reversal of 21202122011220 is 2211022120212.

It is a happy number.

21202122011220 is a `hidden beast` number, since 21 + 202 + 1 + 220 + 1 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14131479382596 + 7070642628624 = 3759186^2 + 2659068^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 21202122011193 and 21202122011202.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 58894783185 + ... + 58894783544.

It is an arithmetic number, because the mean of its divisors is an integer number (1786475095405).

Almost surely, 221202122011220 is an apocalyptic number.

21202122011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202122011220 is an abundant number, since it is smaller than the sum of its proper divisors (43110981423360).

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

21202122011220 is a wasteful number, since it uses less digits than its factorization.

21202122011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117789566744 (or 117789566739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202122011220 its reverse (2211022120212), we get a palindrome (23413144131432).

The spelling of 21202122011220 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117789566729 235579133458 353368700187 471158266916 588947833645 706737400374 1060106100561 1177895667290 1413474800748 1766843500935 2120212201122 2355791334580 3533687001870 4240424402244 5300530502805 7067374003740 10601061005610 21202122011220