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212212001101100 = 22527111317124705883
BaseRepresentation
bin110000010000000101110100…
…111100010101010100101100
31000211101021021020011221122012
4300100011310330111110230
5210303340134240213400
62031200503014540352
762461545134055140
oct6020056474252454
91024337236157565
10212212001101100
11616876712a2220
121b9741359676b8
139154676429690
143a5918950b220
1519801c3d20d35
hexc10174f1552c

212212001101100 has 288 divisors, whose sum is σ = 654663989822976. Its totient is φ = 57464470425600.

The previous prime is 212212001101063. The next prime is 212212001101159. The reversal of 212212001101100 is 1101100212212.

It is a super-2 number, since 2×2122120011011002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60651242 + ... + 64054641.

It is an arithmetic number, because the mean of its divisors is an integer number (2273138853552).

Almost surely, 2212212001101100 is an apocalyptic number.

212212001101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212001101100 is an abundant number, since it is smaller than the sum of its proper divisors (442451988721876).

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

212212001101100 is a wasteful number, since it uses less digits than its factorization.

212212001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124705945 (or 124705938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212212001101100 its reverse (1101100212212), we get a palindrome (213313101313312).

The spelling of 212212001101100 in words is "two hundred twelve trillion, two hundred twelve billion, one million, one hundred one thousand, one hundred".