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212102120 = 23516332531
BaseRepresentation
bin11001010010001…
…10101111101000
3112210002220102002
430221012233220
5413244231440
633014030132
75153560346
oct1451065750
9483086362
10212102120
11a97a950a
125b048348
1334c33919
1420252996
151394a115
hexca46be8

212102120 has 32 divisors (see below), whose sum is σ = 480172320. Its totient is φ = 84317760.

The previous prime is 212102089. The next prime is 212102153. The reversal of 212102120 is 21201212.

It is a happy number.

212102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9746 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (15005385).

Almost surely, 2212102120 is an apocalyptic number.

212102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102120 is an abundant number, since it is smaller than the sum of its proper divisors (268070200).

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

212102120 is a wasteful number, since it uses less digits than its factorization.

212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32705 (or 32701 counting only the distinct ones).

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

The square root of 212102120 is about 14563.7261715538. The cubic root of 212102120 is about 596.3689216301.

Adding to 212102120 its reverse (21201212), we get a palindrome (233303332).

The spelling of 212102120 in words is "two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 326 652 815 1304 1630 3260 6520 32531 65062 130124 162655 260248 325310 650620 1301240 5302553 10605106 21210212 26512765 42420424 53025530 106051060 212102120