34302135143100 has 72 divisors (see below), whose sum is σ = 108270012025728. Its totient is φ = 8315669124800.

The previous prime is 34302135142931. The next prime is 34302135143113. The reversal of 34302135143100 is 134153120343.

It is a happy number.

It is a super-2 number, since 2×34302135143100² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5197289904 + ... + 5197296503.

It is an arithmetic number, because the mean of its divisors is an integer number (1503750167024).

Almost surely, 2^{34302135143100} is an apocalyptic number.

34302135143100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34302135143100 is an abundant number, since it is smaller than the sum of its proper divisors (73967876882628).

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

34302135143100 is a wasteful number, since it uses less digits than its factorization.

34302135143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394586435 (or 10394586428 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 34302135143100 its reverse (134153120343), we get a palindrome (34436288263443).

The spelling of 34302135143100 in words is "thirty-four trillion, three hundred two billion, one hundred thirty-five million, one hundred forty-three thousand, one hundred".