350514121133100 has 144 divisors (see below), whose sum is σ = 1015215149384352. Its totient is φ = 93372680816640.

The previous prime is 350514121133027. The next prime is 350514121133129. The reversal of 350514121133100 is 1331121415053.

It is a super-2 number, since 2×350514121133100² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765421434 + ... + 1765619966.

It is an arithmetic number, because the mean of its divisors is an integer number (7050105204058).

Almost surely, 2^{350514121133100} is an apocalyptic number.

350514121133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350514121133100 is an abundant number, since it is smaller than the sum of its proper divisors (664701028251252).

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

350514121133100 is a wasteful number, since it uses less digits than its factorization.

350514121133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204676 (or 204669 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 350514121133100 its reverse (1331121415053), we get a palindrome (351845242548153).

The spelling of 350514121133100 in words is "three hundred fifty trillion, five hundred fourteen billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred".