20413140100 has 72 divisors (see below), whose sum is σ = 44548351848. Its totient is φ = 8118988800.

The previous prime is 20413140061. The next prime is 20413140119. The reversal of 20413140100 is 104131402.

It can be written as a sum of positive squares in 12 ways, for example, as 14430736384 + 5982403716 = 120128^2 + 77346^2 .

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, 23818872 + ... + 23819728.

It is an arithmetic number, because the mean of its divisors is an integer number (618727109).

Almost surely, 2^20413140100 is an apocalyptic number.

20413140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413140100 is an abundant number, since it is smaller than the sum of its proper divisors (24135211748).

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

20413140100 is a wasteful number, since it uses less digits than its factorization.

20413140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20413140100 its reverse (104131402), we get a palindrome (20517271502).

The spelling of 20413140100 in words is "twenty billion, four hundred thirteen million, one hundred forty thousand, one hundred".