201631106000 has 40 divisors (see below), whose sum is σ = 487544019144. Its totient is φ = 80652441600.

The previous prime is 201631105969. The next prime is 201631106057. The reversal of 201631106000 is 601136102.

It can be written as a sum of positive squares in 4 ways, for example, as 1825681984 + 199805424016 = 42728^2 + 446996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50405777 + ... + 50409776.

Almost surely, 2^201631106000 is an apocalyptic number.

201631106000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201631106000 is an abundant number, since it is smaller than the sum of its proper divisors (285912913144).

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

201631106000 is a wasteful number, since it uses less digits than its factorization.

201631106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100815576 (or 100815560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 201631106000 in words is "two hundred one billion, six hundred thirty-one million, one hundred six thousand".