33134244224100 has 72 divisors (see below), whose sum is σ = 95869412277408. Its totient is φ = 8835706387200.

The previous prime is 33134244224083. The next prime is 33134244224149. The reversal of 33134244224100 is 142244243133.

It is a super-2 number, since 2×33134244224100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31177480 + ... + 32222720.

It is an arithmetic number, because the mean of its divisors is an integer number (1331519614964).

Almost surely, 2^{33134244224100} is an apocalyptic number.

33134244224100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33134244224100 is an abundant number, since it is smaller than the sum of its proper divisors (62735168053308).

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

33134244224100 is a wasteful number, since it uses less digits than its factorization.

33134244224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150925 (or 1150918 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 33134244224100 its reverse (142244243133), we get a palindrome (33276488467233).

The spelling of 33134244224100 in words is "thirty-three trillion, one hundred thirty-four billion, two hundred forty-four million, two hundred twenty-four thousand, one hundred".