34030142213100 has 144 divisors (see below), whose sum is σ = 107415604711296. Its totient is φ = 8249416448000.

The previous prime is 34030142213071. The next prime is 34030142213107. The reversal of 34030142213100 is 131224103043.

It is a happy number.

It is a super-2 number, since 2×34030142213100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34030142213107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92913532 + ... + 93279068.

It is an arithmetic number, because the mean of its divisors is an integer number (745941699384).

Almost surely, 2^{34030142213100} is an apocalyptic number.

34030142213100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34030142213100 is an abundant number, since it is smaller than the sum of its proper divisors (73385462498196).

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

34030142213100 is a wasteful number, since it uses less digits than its factorization.

34030142213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393776 (or 393769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34030142213100 its reverse (131224103043), we get a palindrome (34161366316143).

The spelling of 34030142213100 in words is "thirty-four trillion, thirty billion, one hundred forty-two million, two hundred thirteen thousand, one hundred".