Search a number
-
+
212220100000000 = 285841191271
BaseRepresentation
bin110000010000001101010111…
…101011001011100100000000
31000211102001011122200122022201
4300100031113223023210000
5210304003231100000000
62031204322410242544
762462252625423241
oct6020152753134400
91024361148618281
10212220100000000
11616900479798a4
121b975816126454
1391553672b9051
143a59716d9acc8
1519804e9d5496a
hexc10357acb900

212220100000000 has 648 divisors, whose sum is σ = 547280719792128. Its totient is φ = 82080000000000.

The previous prime is 212220099999967. The next prime is 212220100000037. The reversal of 212220100000000 is 1022212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 783099999865 + ... + 783100000135.

Almost surely, 2212220100000000 is an apocalyptic number.

212220100000000 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 212220100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273640359896064).

212220100000000 is an abundant number, since it is smaller than the sum of its proper divisors (335060619792128).

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

212220100000000 is an frugal number, since it uses more digits than its factorization.

212220100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212220100000000 its reverse (1022212), we get a palindrome (212220101022212).

The spelling of 212220100000000 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred million", and thus it is an aban number.