Search a number
-
+
212134100 = 22522121341
BaseRepresentation
bin11001010010011…
…10100011010100
3112210011112021112
430221032203110
5413301242400
633014434152
75154052523
oct1451164324
9483145245
10212134100
11a9820542
125b062958
1334c45349
14202604ba
1513954835
hexca4e8d4

212134100 has 18 divisors (see below), whose sum is σ = 460331214. Its totient is φ = 84853600.

The previous prime is 212134063. The next prime is 212134103. The reversal of 212134100 is 1431212.

It can be written as a sum of positive squares in 3 ways, for example, as 64705936 + 147428164 = 8044^2 + 12142^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060571 + ... + 1060770.

Almost surely, 2212134100 is an apocalyptic number.

212134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134100 is an abundant number, since it is smaller than the sum of its proper divisors (248197114).

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

212134100 is a wasteful number, since it uses less digits than its factorization.

212134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121355 (or 2121348 counting only the distinct ones).

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

The square root of 212134100 is about 14564.8240634757. The cubic root of 212134100 is about 596.3988929158.

Adding to 212134100 its reverse (1431212), we get a palindrome (213565312).

The spelling of 212134100 in words is "two hundred twelve million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2121341 4242682 8485364 10606705 21213410 42426820 53033525 106067050 212134100