34133168100 has 36 divisors (see below), whose sum is σ = 98758633904. Its totient is φ = 9102178080.

The previous prime is 34133168099. The next prime is 34133168119. The reversal of 34133168100 is 186133143.

It is a super-2 number, since 2×34133168100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56888314 + ... + 56888913.

Almost surely, 2^34133168100 is an apocalyptic number.

34133168100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34133168100 is an abundant number, since it is smaller than the sum of its proper divisors (64625465804).

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

34133168100 is a wasteful number, since it uses less digits than its factorization.

34133168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113777244 (or 113777237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 34133168100 in words is "thirty-four billion, one hundred thirty-three million, one hundred sixty-eight thousand, one hundred".