Search a number
-
+
12252250431 = 34732072087
BaseRepresentation
bin10110110100100101…
…01000000100111111
31011121212202210220000
423122102220010333
5200043034003211
65343440125343
7612423260511
oct133222500477
934555683800
1012252250431
115218092103
12245b306853
1312034b4635
14843321bb1
154ba99b656
hex2da4a813f

12252250431 has 20 divisors (see below), whose sum is σ = 18553475952. Its totient is φ = 8056270368.

The previous prime is 12252250429. The next prime is 12252250441. The reversal of 12252250431 is 13405225221.

12252250431 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 225 + 0 + 431 = 666.

12252250431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12252250431 - 21 = 12252250429 is a prime.

It is a super-2 number, since 2×122522504312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12252250395 and 12252250404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252250441) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1030131 + ... + 1041956.

Almost surely, 212252250431 is an apocalyptic number.

12252250431 is a deficient number, since it is larger than the sum of its proper divisors (6301225521).

12252250431 is an equidigital number, since it uses as much as digits as its factorization.

12252250431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072172 (or 2072163 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12252250431 its reverse (13405225221), we get a palindrome (25657475652).

The spelling of 12252250431 in words is "twelve billion, two hundred fifty-two million, two hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 73 81 219 657 1971 5913 2072087 6216261 18648783 55946349 151262351 167839047 453787053 1361361159 4084083477 12252250431