Search a number
-
+
123352440225 = 35272331329533
BaseRepresentation
bin111001011100001100…
…0001101110110100001
3102210101122101012221020
41302320120031312201
54010111211041400
6132400050520053
711624534304420
oct1627030156641
9383348335836
10123352440225
114834a267083
121baa6596029
13b82a8ca701
145d826932b7
15331e4662a0
hex1cb860dda1

123352440225 has 96 divisors (see below), whose sum is σ = 251057455104. Its totient is φ = 52197868800.

The previous prime is 123352440217. The next prime is 123352440229. The reversal of 123352440225 is 522044253321.

It is not a de Polignac number, because 123352440225 - 23 = 123352440217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123352440229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209559 + ... + 539091.

It is an arithmetic number, because the mean of its divisors is an integer number (2615181824).

Almost surely, 2123352440225 is an apocalyptic number.

123352440225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123352440225 is an abundant number, since it is smaller than the sum of its proper divisors (127705014879).

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

123352440225 is a wasteful number, since it uses less digits than its factorization.

123352440225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329607 (or 329602 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 123352440225 its reverse (522044253321), we get a palindrome (645396693546).

The spelling of 123352440225 in words is "one hundred twenty-three billion, three hundred fifty-two million, four hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 31 35 69 75 93 105 115 155 161 175 217 345 465 483 525 575 651 713 775 805 1085 1725 2139 2325 2415 3255 3565 4025 4991 5425 10695 12075 14973 16275 17825 24955 53475 74865 124775 329533 374325 988599 1647665 2306731 4942995 6920193 7579259 8238325 10215523 11533655 22737777 24714975 30646569 34600965 37896295 51077615 53054813 57668275 71508661 113688885 153232845 159164439 173004825 189481475 214525983 234957029 255388075 265274065 357543305 568444425 704871087 766164225 795822195 1072629915 1174785145 1326370325 1644699203 1787716525 3524355435 3979110975 4934097609 5363149575 5873925725 8223496015 17621777175 24670488045 41117480075 123352440225