Search a number
-
+
13531412106 = 2321744220301
BaseRepresentation
bin11001001101000100…
…01111011010001010
31021221000201221211100
430212202033122022
5210203020141411
610114413042230
7656215051032
oct144642173212
937830657740
1013531412106
115814147213
122757786376
131378504734
1492517a8c2
15542e22456
hex32688f68a

13531412106 has 24 divisors (see below), whose sum is σ = 31042652004. Its totient is φ = 4245148800.

The previous prime is 13531412029. The next prime is 13531412107. The reversal of 13531412106 is 60121413531.

It is a happy number.

13531412106 is a `hidden beast` number, since 1 + 3 + 531 + 4 + 121 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13302162225 + 229249881 = 115335^2 + 15141^2 .

It is a super-2 number, since 2×135314121062 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13531412106.

It is not an unprimeable number, because it can be changed into a prime (13531412107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22109845 + ... + 22110456.

Almost surely, 213531412106 is an apocalyptic number.

13531412106 is an abundant number, since it is smaller than the sum of its proper divisors (17511239898).

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

13531412106 is a wasteful number, since it uses less digits than its factorization.

13531412106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44220326 (or 44220323 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13531412106 its reverse (60121413531), we get a palindrome (73652825637).

The spelling of 13531412106 in words is "thirteen billion, five hundred thirty-one million, four hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 44220301 88440602 132660903 265321806 397982709 751745117 795965418 1503490234 2255235351 4510470702 6765706053 13531412106