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21211021211220 = 22325117839006729
BaseRepresentation
bin1001101001010100100110…
…11000100111011001010100
32210002202100112112011012100
410310222103120213121110
510240010132412224340
6113040113021322100
74316305610333031
oct464522330473124
983082315464170
1021211021211220
1168385a855a255
122466a08106330
13bab2630118a9
145348943b8388
1526bb32400830
hex134a93627654

21211021211220 has 36 divisors (see below), whose sum is σ = 64340097674580. Its totient is φ = 5656272322944.

The previous prime is 21211021211209. The next prime is 21211021211243. The reversal of 21211021211220 is 2211212011212.

21211021211220 is a `hidden beast` number, since 2 + 1 + 211 + 0 + 21 + 211 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6211728767556 + 14999292443664 = 2492334^2 + 3872892^2 .

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 = 21211021211193 and 21211021211202.

It is a congruent number.

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, 58919503185 + ... + 58919503544.

It is an arithmetic number, because the mean of its divisors is an integer number (1787224935405).

Almost surely, 221211021211220 is an apocalyptic number.

21211021211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211021211220 is an abundant number, since it is smaller than the sum of its proper divisors (43129076463360).

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

21211021211220 is a wasteful number, since it uses less digits than its factorization.

21211021211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117839006744 (or 117839006739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211021211220 its reverse (2211212011212), we get a palindrome (23422233222432).

The spelling of 21211021211220 in words is "twenty-one trillion, two hundred eleven billion, twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117839006729 235678013458 353517020187 471356026916 589195033645 707034040374 1060551060561 1178390067290 1414068080748 1767585100935 2121102121122 2356780134580 3535170201870 4242204242244 5302755302805 7070340403740 10605510605610 21211021211220