10004340013110 has 24 divisors (see below), whose sum is σ = 26011284034320. Its totient is φ = 2667824003472.

The previous prime is 10004340013103. The next prime is 10004340013127. The reversal of 10004340013110 is 1131004340001.

10004340013110 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 340 + 0 + 1 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55579666650 + ... + 55579666829.

It is an arithmetic number, because the mean of its divisors is an integer number (1083803501430).

Almost surely, 2^{10004340013110} is an apocalyptic number.

10004340013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10004340013110 is an abundant number, since it is smaller than the sum of its proper divisors (16006944021210).

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

10004340013110 is a wasteful number, since it uses less digits than its factorization.

10004340013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111159333492 (or 111159333489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10004340013110 its reverse (1131004340001), we get a palindrome (11135344353111).

The spelling of 10004340013110 in words is "ten trillion, four billion, three hundred forty million, thirteen thousand, one hundred ten".