220431034000107 has 48 divisors (see below), whose sum is σ = 385834649503680. Its totient is φ = 118383934980096.

The previous prime is 220431034000097. The next prime is 220431034000117. The reversal of 220431034000107 is 701000430134022.

It is a happy number.

220431034000107 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 310 + 340 + 0 + 0 + 1 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (220431034000097) and next prime (220431034000117).

It is not a de Polignac number, because 220431034000107 - 2¹⁹ = 220431033475819 is a prime.

It is a super-2 number, since 2×220431034000107² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220431034000117) 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, 144387318 + ... + 145905995.

It is an arithmetic number, because the mean of its divisors is an integer number (8038221864660).

Almost surely, 2^{220431034000107} is an apocalyptic number.

220431034000107 is a deficient number, since it is larger than the sum of its proper divisors (165403615503573).

220431034000107 is a wasteful number, since it uses less digits than its factorization.

220431034000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290294052 (or 290294049 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 220431034000107 its reverse (701000430134022), we get a palindrome (921431464134129).

The spelling of 220431034000107 in words is "two hundred twenty trillion, four hundred thirty-one billion, thirty-four million, one hundred seven", and thus it is an aban number.