34431414202100 has 36 divisors (see below), whose sum is σ = 77292588439500. Its totient is φ = 13297649621760.

The previous prime is 34431414202043. The next prime is 34431414202109. The reversal of 34431414202100 is 120241413443.

It can be written as a sum of positive squares in 6 ways, for example, as 2065009236196 + 32366404965904 = 1437014^2 + 5689148^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431414202109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5936447825 + ... + 5936453624.

Almost surely, 2^{34431414202100} is an apocalyptic number.

It is an amenable number.

34431414202100 is an abundant number, since it is smaller than the sum of its proper divisors (42861174237400).

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

34431414202100 is a wasteful number, since it uses less digits than its factorization.

34431414202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11872901492 (or 11872901485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 34431414202100 its reverse (120241413443), we get a palindrome (34551655615543).

The spelling of 34431414202100 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred two thousand, one hundred".