213428100 has 36 divisors (see below), whose sum is σ = 617519504. Its totient is φ = 56914080.

The previous prime is 213428093. The next prime is 213428101. The reversal of 213428100 is 1824312.

It is a super-2 number, since 2×213428100² = 91103107739220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213428101) 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 11 ways as a sum of consecutive naturals, for example, 355414 + ... + 356013.

Almost surely, 2^213428100 is an apocalyptic number.

213428100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213428100 is an abundant number, since it is smaller than the sum of its proper divisors (404091404).

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

213428100 is a wasteful number, since it uses less digits than its factorization.

213428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711444 (or 711437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 213428100 is about 14609.1786216748. The cubic root of 213428100 is about 597.6090963994.

The spelling of 213428100 in words is "two hundred thirteen million, four hundred twenty-eight thousand, one hundred".