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213232100 = 22522132321
BaseRepresentation
bin11001011010110…
…10100111100100
3112212020022110012
430231122213210
5414041411400
633054145352
75166304634
oct1455324744
9485208405
10213232100
11aa400484
125b4b2258
133523b053
14204686c4
1513abed35
hexcb5a9e4

213232100 has 18 divisors (see below), whose sum is σ = 462713874. Its totient is φ = 85292800.

The previous prime is 213232067. The next prime is 213232127. The reversal of 213232100 is 1232312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42198016 + 171034084 = 6496^2 + 13078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1066061 + ... + 1066260.

Almost surely, 2213232100 is an apocalyptic number.

213232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213232100 is an abundant number, since it is smaller than the sum of its proper divisors (249481774).

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

213232100 is a wasteful number, since it uses less digits than its factorization.

213232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132335 (or 2132328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213232100 is about 14602.4689693216. The cubic root of 213232100 is about 597.4261038494.

Adding to 213232100 its reverse (1232312), we get a palindrome (214464412).

The spelling of 213232100 in words is "two hundred thirteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2132321 4264642 8529284 10661605 21323210 42646420 53308025 106616050 213232100