110144242213000 has 32 divisors (see below), whose sum is σ = 257737526780760. Its totient is φ = 44057696884800.

The previous prime is 110144242212973. The next prime is 110144242213003. The reversal of 110144242213000 is 312242441011.

It can be written as a sum of positive squares in 4 ways, for example, as 3526681178916 + 106617561034084 = 1877946^2 + 10325578^2 .

It is a super-2 number, since 2×110144242213000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (110144242213003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55072120107 + ... + 55072122106.

Almost surely, 2^{110144242213000} is an apocalyptic number.

110144242213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110144242213000 is an abundant number, since it is smaller than the sum of its proper divisors (147593284567760).

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

110144242213000 is a wasteful number, since it uses less digits than its factorization.

110144242213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110144242234 (or 110144242220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 110144242213000 its reverse (312242441011), we get a palindrome (110456484654011).

The spelling of 110144242213000 in words is "one hundred ten trillion, one hundred forty-four billion, two hundred forty-two million, two hundred thirteen thousand".