220431034000134 has 24 divisors (see below), whose sum is σ = 477602773207560. Its totient is φ = 73476672942528.

The previous prime is 220431034000117. The next prime is 220431034000211. The reversal of 220431034000134 is 431000430134022.

220431034000134 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 310 + 340 + 0 + 0 + 1 + 3 + 4 = 666.

It is a super-2 number, since 2×220431034000134² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220431034000098 and 220431034000107.

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 11 ways as a sum of consecutive naturals, for example, 24166627 + ... + 32013870.

It is an arithmetic number, because the mean of its divisors is an integer number (19900115550315).

Almost surely, 2^{220431034000134} is an apocalyptic number.

220431034000134 is an abundant number, since it is smaller than the sum of its proper divisors (257171739207426).

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

220431034000134 is a wasteful number, since it uses less digits than its factorization.

220431034000134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56398484 (or 56398481 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 220431034000134 its reverse (431000430134022), we get a palindrome (651431464134156).

The spelling of 220431034000134 in words is "two hundred twenty trillion, four hundred thirty-one billion, thirty-four million, one hundred thirty-four", and thus it is an aban number.