34112100141 has 96 divisors (see below), whose sum is σ = 58810752000. Its totient is φ = 19039980960.

The previous prime is 34112100103. The next prime is 34112100173. The reversal of 34112100141 is 14100121143.

34112100141 is a `hidden beast` number, since 3 + 411 + 210 + 0 + 1 + 41 = 666.

It is not a de Polignac number, because 34112100141 - 2⁹ = 34112099629 is a prime.

It is a super-2 number, since 2×34112100141² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112100041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27093970 + ... + 27095228.

It is an arithmetic number, because the mean of its divisors is an integer number (612612000).

Almost surely, 2^34112100141 is an apocalyptic number.

It is an amenable number.

34112100141 is a deficient number, since it is larger than the sum of its proper divisors (24698651859).

34112100141 is a wasteful number, since it uses less digits than its factorization.

34112100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 34112100141 its reverse (14100121143), we get a palindrome (48212221284).

The spelling of 34112100141 in words is "thirty-four billion, one hundred twelve million, one hundred thousand, one hundred forty-one".