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211021220000 = 2554195091091
BaseRepresentation
bin1100010010000111011…
…0000100100010100000
3202011200102122200002202
43010201312010202200
511424132413020000
6240535233032332
721150205526513
oct3044166044240
9664612580082
10211021220000
1181547a82988
1234a926b56a8
1316b8c766326
14a2dbb16d7a
155750d05dd5
hex3121d848a0

211021220000 has 240 divisors, whose sum is σ = 548042695200. Its totient is φ = 79735680000.

The previous prime is 211021219991. The next prime is 211021220023. The reversal of 211021220000 is 22120112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193419455 + ... + 193420545.

It is an arithmetic number, because the mean of its divisors is an integer number (2283511230).

Almost surely, 2211021220000 is an apocalyptic number.

211021220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274021347600).

211021220000 is an abundant number, since it is smaller than the sum of its proper divisors (337021475200).

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

211021220000 is a wasteful number, since it uses less digits than its factorization.

211021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211021220000 its reverse (22120112), we get a palindrome (211043340112).

The spelling of 211021220000 in words is "two hundred eleven billion, twenty-one million, two hundred twenty thousand".