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110194122025 = 5213251072
BaseRepresentation
bin110011010100000010…
…1001101110100101001
3101112102121200101201201
41212220011031310221
53301134143401100
6122342242244201
710650466403611
oct1465005156451
9345377611651
10110194122025
1142807788939
1219433956661
13a5117a6900
145494cb5a41
152cee19036a
hex19a814dd29

110194122025 has 27 divisors (see below), whose sum is σ = 147989037861. Its totient is φ = 81358187040.

The previous prime is 110194122001. The next prime is 110194122041. The reversal of 110194122025 is 520221491011.

The square root of 110194122025 is 331955.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28402697961 + 81791424064 = 168531^2 + 285992^2 .

It is not a de Polignac number, because 110194122025 - 25 = 110194121993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110194121984 and 110194122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21574522 + ... + 21579628.

Almost surely, 2110194122025 is an apocalyptic number.

110194122025 is the 331955-th square number.

110194122025 is the 165978-th centered octagonal number.

It is an amenable number.

110194122025 is a deficient number, since it is larger than the sum of its proper divisors (37794915836).

110194122025 is an frugal number, since it uses more digits than its factorization.

110194122025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 110194122025 in words is "one hundred ten billion, one hundred ninety-four million, one hundred twenty-two thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 5107 25535 66391 127675 331955 863083 1659775 4315415 21577075 26081449 130407245 339058837 652036225 1695294185 4407764881 8476470925 22038824405 110194122025