33140420100 has 54 divisors (see below), whose sum is σ = 103876808490. Its totient is φ = 8837445120.

The previous prime is 33140420069. The next prime is 33140420153. The reversal of 33140420100 is 102404133.

33140420100 is a `hidden beast` number, since 3 + 3 + 140 + 420 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5344194816 + 27796225284 = 73104^2 + 166722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18410445 + ... + 18412244.

Almost surely, 2^33140420100 is an apocalyptic number.

33140420100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33140420100 is an abundant number, since it is smaller than the sum of its proper divisors (70736388390).

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

33140420100 is a wasteful number, since it uses less digits than its factorization.

33140420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36822709 (or 36822699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33140420100 its reverse (102404133), we get a palindrome (33242824233).

The spelling of 33140420100 in words is "thirty-three billion, one hundred forty million, four hundred twenty thousand, one hundred".