20311973100 has 180 divisors, whose sum is σ = 65926915824. Its totient is φ = 5409659520.

The previous prime is 20311973053. The next prime is 20311973147. The reversal of 20311973100 is 137911302.

It is an interprime number because it is at equal distance from previous prime (20311973053) and next prime (20311973147).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20311973100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11719834 + ... + 11721566.

Almost surely, 2^20311973100 is an apocalyptic number.

20311973100 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 20311973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32963457912).

20311973100 is an abundant number, since it is smaller than the sum of its proper divisors (45614942724).

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

20311973100 is a wasteful number, since it uses less digits than its factorization.

20311973100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 20311973100 in words is "twenty billion, three hundred eleven million, nine hundred seventy-three thousand, one hundred".