20413493100 has 1296 divisors, whose sum is σ = 91265408640. Its totient is φ = 3868300800.

The previous prime is 20413493081. The next prime is 20413493101. The reversal of 20413493100 is 139431402.

20413493100 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 349 + 310 + 0 = 666.

It is a super-2 number, since 2×20413493100² (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 not an unprimeable number, because it can be changed into a prime (20413493101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 245945659 + ... + 245945741.

It is an arithmetic number, because the mean of its divisors is an integer number (70420840).

Almost surely, 2^20413493100 is an apocalyptic number.

20413493100 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 20413493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45632704320).

20413493100 is an abundant number, since it is smaller than the sum of its proper divisors (70851915540).

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

20413493100 is a wasteful number, since it uses less digits than its factorization.

20413493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20413493100 in words is "twenty billion, four hundred thirteen million, four hundred ninety-three thousand, one hundred".