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110442320125 = 5341149144629
BaseRepresentation
bin110011011011011100…
…0000001000011111101
3101120001220201011111221
41212312320001003331
53302141213221000
6122423030113341
710656602142334
oct1466670010375
9346056634457
10110442320125
11429248a0835
12194a2aab851
13a5510380a7
1454b9c42d1b
152d15d6a61a
hex19b6e010fd

110442320125 has 32 divisors (see below), whose sum is σ = 142142364000. Its totient is φ = 85619776000.

The previous prime is 110442320101. The next prime is 110442320231. The reversal of 110442320125 is 521023244011.

It can be written as a sum of positive squares in 16 ways, for example, as 98619237369 + 11823082756 = 314037^2 + 108734^2 .

It is a de Polignac number, because none of the positive numbers 2k-110442320125 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110442320125.

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 31 ways as a sum of consecutive naturals, for example, 691311 + ... + 835939.

It is an arithmetic number, because the mean of its divisors is an integer number (4441948875).

Almost surely, 2110442320125 is an apocalyptic number.

It is an amenable number.

110442320125 is a deficient number, since it is larger than the sum of its proper divisors (31700043875).

110442320125 is a wasteful number, since it uses less digits than its factorization.

110442320125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144834 (or 144824 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 110442320125 its reverse (521023244011), we get a palindrome (631465564136).

The spelling of 110442320125 in words is "one hundred ten billion, four hundred forty-two million, three hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 149 205 745 1025 3725 5125 6109 18625 30545 144629 152725 723145 763625 3615725 5929789 18078625 21549721 29648945 107748605 148244725 538743025 741223625 883538561 2693715125 4417692805 22088464025 110442320125