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212122100 = 22522392227
BaseRepresentation
bin11001010010010…
…11100111110100
3112210010220211002
430221023213310
5413300401400
633014302432
75154002531
oct1451134764
9483126732
10212122100
11a9812523
125b057a18
1334c3ca48
1420259d88
1513950ed5
hexca4b9f4

212122100 has 36 divisors (see below), whose sum is σ = 480323424. Its totient is φ = 81158880.

The previous prime is 212122091. The next prime is 212122109. The reversal of 212122100 is 1221212.

It is a happy number.

212122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212122091) and next prime (212122109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43814 + ... + 48413.

Almost surely, 2212122100 is an apocalyptic number.

212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122100 is an abundant number, since it is smaller than the sum of its proper divisors (268201324).

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

212122100 is a wasteful number, since it uses less digits than its factorization.

212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92264 (or 92257 counting only the distinct ones).

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

The square root of 212122100 is about 14564.4121062266. The cubic root of 212122100 is about 596.3876470079.

Adding to 212122100 its reverse (1221212), we get a palindrome (213343312).

The spelling of 212122100 in words is "two hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 92227 184454 368908 461135 922270 1844540 2121221 2305675 4242442 4611350 8484884 9222700 10606105 21212210 42424420 53030525 106061050 212122100