213435514200 has 96 divisors (see below), whose sum is σ = 666860175360. Its totient is φ = 56467958400.

The previous prime is 213435514183. The next prime is 213435514231. The reversal of 213435514200 is 2415534312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324296 + ... + 1476695.

It is an arithmetic number, because the mean of its divisors is an integer number (6946460160).

Almost surely, 2^213435514200 is an apocalyptic number.

213435514200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213435514200 is an abundant number, since it is smaller than the sum of its proper divisors (453424661160).

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

213435514200 is a wasteful number, since it uses less digits than its factorization.

213435514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801137 (or 2801128 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 213435514200 in words is "two hundred thirteen billion, four hundred thirty-five million, five hundred fourteen thousand, two hundred".