34211100431241 has 12 divisors (see below), whose sum is σ = 49416336349380. Its totient is φ = 22807260721440.

The previous prime is 34211100431219. The next prime is 34211100431243. The reversal of 34211100431241 is 14213400111243.

It is a happy number.

34211100431241 is a `hidden beast` number, since 3 + 4 + 211 + 10 + 0 + 431 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26253623621241 + 7957476810000 = 5123829^2 + 2820900^2 .

It is not a de Polignac number, because 34211100431241 - 2⁷ = 34211100431113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34211100431243) 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, 10066986 + ... + 13029443.

It is an arithmetic number, because the mean of its divisors is an integer number (4118028029115).

Almost surely, 2^{34211100431241} is an apocalyptic number.

It is an amenable number.

34211100431241 is a deficient number, since it is larger than the sum of its proper divisors (15205235918139).

34211100431241 is a wasteful number, since it uses less digits than its factorization.

34211100431241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23261016 (or 23261013 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34211100431241 its reverse (14213400111243), we get a palindrome (48424500542484).

The spelling of 34211100431241 in words is "thirty-four trillion, two hundred eleven billion, one hundred million, four hundred thirty-one thousand, two hundred forty-one".