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211211334020 = 22510560566701
BaseRepresentation
bin1100010010110100101…
…1010011000110000100
3202012011200101110111202
43010231023103012010
511430030100142040
6241010143522032
721155004501011
oct3045513230604
9665150343452
10211211334020
1181635323405
1234b262b9318
1316bbcc6b92b
14a319084708
15576285b015
hex312d2d3184

211211334020 has 12 divisors (see below), whose sum is σ = 443543801484. Its totient is φ = 84484533600.

The previous prime is 211211334011. The next prime is 211211334031. The reversal of 211211334020 is 20433112112.

It can be written as a sum of positive squares in 2 ways, for example, as 122589616384 + 88621717636 = 350128^2 + 297694^2 .

It is a super-2 number, since 2×2112113340202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10560566701 = 211211334020 / (2 + 1 + 1 + 2 + 1 + 1 + 3 + 3 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 211211333983 and 211211334001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5280283331 + ... + 5280283370.

It is an arithmetic number, because the mean of its divisors is an integer number (36961983457).

Almost surely, 2211211334020 is an apocalyptic number.

211211334020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211334020 is an abundant number, since it is smaller than the sum of its proper divisors (232332467464).

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

211211334020 is a wasteful number, since it uses less digits than its factorization.

211211334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560566710 (or 10560566708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211211334020 its reverse (20433112112), we get a palindrome (231644446132).

The spelling of 211211334020 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 10560566701 21121133402 42242266804 52802833505 105605667010 211211334020