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212201000000 = 265611101191
BaseRepresentation
bin1100010110100000101…
…0100100110001000000
3202021201122121201000022
43011220022210301000
511434041424000000
6241252255513012
721221352511403
oct3055012446100
9667648551008
10212201000000
1181aa2a29080
1235161828768
1317019ccb1c2
14a3b06a1d3a
1557be69a585
hex31682a4c40

212201000000 has 392 divisors, whose sum is σ = 582922538496. Its totient is φ = 76000000000.

The previous prime is 212200999931. The next prime is 212201000017. The reversal of 212201000000 is 102212.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 55 ways as a sum of consecutive naturals, for example, 1110999905 + ... + 1111000095.

Almost surely, 2212201000000 is an apocalyptic number.

212201000000 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 212201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291461269248).

212201000000 is an abundant number, since it is smaller than the sum of its proper divisors (370721538496).

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

212201000000 is an equidigital number, since it uses as much as digits as its factorization.

212201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 212201000000 its reverse (102212), we get a palindrome (212201102212).

The spelling of 212201000000 in words is "two hundred twelve billion, two hundred one million", and thus it is an aban number.