213242471100 has 180 divisors, whose sum is σ = 695654848504. Its totient is φ = 56502126720.

The previous prime is 213242471087. The next prime is 213242471119. The reversal of 213242471100 is 1174242312.

213242471100 is a `hidden beast` number, since 2 + 132 + 424 + 7 + 1 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1187859 + ... + 1355541.

Almost surely, 2^213242471100 is an apocalyptic number.

213242471100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213242471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347827424252).

213242471100 is an abundant number, since it is smaller than the sum of its proper divisors (482412377404).

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

213242471100 is a wasteful number, since it uses less digits than its factorization.

213242471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167866 (or 167850 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 213242471100 in words is "two hundred thirteen billion, two hundred forty-two million, four hundred seventy-one thousand, one hundred".