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21200122101220 = 2255097972612957
BaseRepresentation
bin1001101001000000010011…
…01111110011110111100100
32210001201012221221000000121
410310200021233303313210
510234320322224214340
6113031111315451324
74315441534410106
oct464401157636744
983051187830017
1021200122101220
116833a15270627
122464885bb6b44
13baa216c7cb8a
1453413ca8b576
1526b6e563e94a
hex134809bf3de4

21200122101220 has 48 divisors (see below), whose sum is σ = 44663709167280. Its totient is φ = 8452766334464.

The previous prime is 21200122101217. The next prime is 21200122101247. The reversal of 21200122101220 is 2210122100212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1483485024256 + 19716637076964 = 1217984^2 + 4440342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21200122101194 and 21200122101203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6806982 + ... + 9419938.

It is an arithmetic number, because the mean of its divisors is an integer number (930493940985).

Almost surely, 221200122101220 is an apocalyptic number.

21200122101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200122101220 is an abundant number, since it is smaller than the sum of its proper divisors (23463587066060).

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

21200122101220 is a wasteful number, since it uses less digits than its factorization.

21200122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614272 (or 2614270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21200122101220 its reverse (2210122100212), we get a palindrome (23410244201432).

The spelling of 21200122101220 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 509 797 1018 1594 2036 2545 3188 3985 5090 7970 10180 15940 405673 811346 1622692 2028365 2612957 4056730 5225914 8113460 10451828 13064785 26129570 52259140 1329995113 2082526729 2659990226 4165053458 5319980452 6649975565 8330106916 10412633645 13299951130 20825267290 26599902260 41650534580 1060006105061 2120012210122 4240024420244 5300030525305 10600061050610 21200122101220