Search a number
-
+
212102132 = 2211171032753
BaseRepresentation
bin11001010010001…
…10101111110100
3112210002220102112
430221012233310
5413244232012
633014030152
75153560364
oct1451065764
9483086375
10212102132
11a97a9520
125b048358
1334c33928
14202529a4
151394a122
hexca46bf4

212102132 has 48 divisors (see below), whose sum is σ = 433060992. Its totient is φ = 89825280.

The previous prime is 212102089. The next prime is 212102153. The reversal of 212102132 is 231201212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75668 + ... + 78420.

It is an arithmetic number, because the mean of its divisors is an integer number (9022104).

Almost surely, 2212102132 is an apocalyptic number.

212102132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212102132 is an abundant number, since it is smaller than the sum of its proper divisors (220958860).

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

212102132 is a wasteful number, since it uses less digits than its factorization.

212102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212102132 is about 14563.7265835362. The cubic root of 212102132 is about 596.3689328770.

Adding to 212102132 its reverse (231201212), we get a palindrome (443303344).

The spelling of 212102132 in words is "two hundred twelve million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 103 187 206 374 412 748 1133 1751 2266 2753 3502 4532 5506 7004 11012 19261 30283 38522 46801 60566 77044 93602 121132 187204 283559 514811 567118 1029622 1134236 2059244 3119149 4820503 6238298 9641006 12476596 19282012 53025533 106051066 212102132