20010931600 has 135 divisors (see below), whose sum is σ = 52926468609. Its totient is φ = 7265385600.

The previous prime is 20010931583. The next prime is 20010931621. The reversal of 20010931600 is 613901002.

The square root of 20010931600 is 141460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7203935376 + 12806996224 = 84876^2 + 113168^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31120879 + ... + 31121521.

Almost surely, 2^20010931600 is an apocalyptic number.

20010931600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20010931600 is the 141460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010931600

20010931600 is an abundant number, since it is smaller than the sum of its proper divisors (32915537009).

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

20010931600 is an equidigital number, since it uses as much as digits as its factorization.

20010931600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 20010931600 by its product of nonzero digits (324), we get a square (6483541838400 = 2546280²).

The spelling of 20010931600 in words is "twenty billion, ten million, nine hundred thirty-one thousand, six hundred".