Search a number
-
+
107122017025 = 526729772
BaseRepresentation
bin110001111000011111…
…0000100001100000001
3101020111111222021221001
41203300332010030001
53223341214021100
6121113340332001
710511404056352
oct1436076041401
9336444867831
10107122017025
1141480649991
1218916b44001
13a1421976ba
145282c9dd29
152bbe606d6a
hex18f0f84301

107122017025 has 27 divisors (see below), whose sum is σ = 134981607369. Its totient is φ = 84332138880.

The previous prime is 107122017017. The next prime is 107122017071. The reversal of 107122017025 is 520710221701.

The square root of 107122017025 is 327295.

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 15247557361 + 91874459664 = 123481^2 + 303108^2 .

It is not a de Polignac number, because 107122017025 - 23 = 107122017017 is a prime.

It is a super-2 number, since 2×1071220170252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107122016984 and 107122017002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109643337 + ... + 109644313.

Almost surely, 2107122017025 is an apocalyptic number.

107122017025 is the 327295-th square number.

107122017025 is the 163648-th centered octagonal number.

It is an amenable number.

107122017025 is a deficient number, since it is larger than the sum of its proper divisors (27859590344).

107122017025 is an frugal number, since it uses more digits than its factorization.

107122017025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 107122017025 its reverse (520710221701), we get a palindrome (627832238726).

The spelling of 107122017025 in words is "one hundred seven billion, one hundred twenty-two million, seventeen thousand, twenty-five".

Divisors: 1 5 25 67 335 977 1675 4489 4885 22445 24425 65459 112225 327295 954529 1636475 4385753 4772645 21928765 23863225 63953443 109643825 319767215 1598836075 4284880681 21424403405 107122017025