231000030213200 has 120 divisors (see below), whose sum is σ = 564122272327320. Its totient is φ = 90877732300800.

The previous prime is 231000030213131. The next prime is 231000030213233. The reversal of 231000030213200 is 2312030000132.

231000030213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20045785471504 + 210954244741696 = 4477252^2 + 14524264^2 .

It is a super-2 number, since 2×231000030213200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298977782 + ... + 299749418.

It is an arithmetic number, because the mean of its divisors is an integer number (4701018936061).

Almost surely, 2^{231000030213200} is an apocalyptic number.

231000030213200 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 231000030213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282061136163660).

231000030213200 is an abundant number, since it is smaller than the sum of its proper divisors (333122242114120).

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

231000030213200 is a wasteful number, since it uses less digits than its factorization.

231000030213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783985 (or 783974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 231000030213200 its reverse (2312030000132), we get a palindrome (233312060213332).

The spelling of 231000030213200 in words is "two hundred thirty-one trillion, thirty million, two hundred thirteen thousand, two hundred".