201430223100 has 108 divisors (see below), whose sum is σ = 632628477936. Its totient is φ = 53607816960.

The previous prime is 201430223081. The next prime is 201430223143. The reversal of 201430223100 is 1322034102.

201430223100 is a `hidden beast` number, since 2 + 0 + 1 + 430 + 2 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×201430223100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230224 + ... + 675176.

It is an arithmetic number, because the mean of its divisors is an integer number (5857671092).

Almost surely, 2^201430223100 is an apocalyptic number.

201430223100 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 201430223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316314238968).

201430223100 is an abundant number, since it is smaller than the sum of its proper divisors (431198254836).

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

201430223100 is a wasteful number, since it uses less digits than its factorization.

201430223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445476 (or 445466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201430223100 its reverse (1322034102), we get a palindrome (202752257202).

The spelling of 201430223100 in words is "two hundred one billion, four hundred thirty million, two hundred twenty-three thousand, one hundred".