201431400210 has 40 divisors (see below), whose sum is σ = 541626656076. Its totient is φ = 53715039840.

The previous prime is 201431400101. The next prime is 201431400229. The reversal of 201431400210 is 12004134102.

201431400210 is a `hidden beast` number, since 20 + 1 + 4 + 31 + 400 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200955854961 + 475545249 = 448281^2 + 21807^2 .

It is a super-2 number, since 2×201431400210² (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 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 19 ways as a sum of consecutive naturals, for example, 124339561 + ... + 124341180.

Almost surely, 2^201431400210 is an apocalyptic number.

201431400210 is an abundant number, since it is smaller than the sum of its proper divisors (340195255866).

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

201431400210 is a wasteful number, since it uses less digits than its factorization.

201431400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248680760 (or 248680751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201431400210 its reverse (12004134102), we get a palindrome (213435534312).

The spelling of 201431400210 in words is "two hundred one billion, four hundred thirty-one million, four hundred thousand, two hundred ten".