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211142320420 = 22585131240117
BaseRepresentation
bin1100010010100100010…
…0000010000100100100
3202011222212112012122111
43010221010002010210
511424404413223140
6240555240410404
721153206053123
oct3045104020444
9664885465574
10211142320420
11815aa376479
1234b07176a04
1316bab887095
14a30dc3baba
15575b7777ea
hex3129102124

211142320420 has 24 divisors (see below), whose sum is σ = 443451315384. Its totient is φ = 84446939136.

The previous prime is 211142320409. The next prime is 211142320453. The reversal of 211142320420 is 24023241112.

It can be written as a sum of positive squares in 4 ways, for example, as 37373395684 + 173768924736 = 193322^2 + 416856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211142320391 and 211142320400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449799 + ... + 790318.

It is an arithmetic number, because the mean of its divisors is an integer number (18477138141).

Almost surely, 2211142320420 is an apocalyptic number.

211142320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142320420 is an abundant number, since it is smaller than the sum of its proper divisors (232308994964).

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

211142320420 is a wasteful number, since it uses less digits than its factorization.

211142320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248639 (or 1248637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211142320420 its reverse (24023241112), we get a palindrome (235165561532).

The spelling of 211142320420 in words is "two hundred eleven billion, one hundred forty-two million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 8513 17026 34052 42565 85130 170260 1240117 2480234 4960468 6200585 12401170 24802340 10557116021 21114232042 42228464084 52785580105 105571160210 211142320420