Search a number
-
+
312442242132 = 223534889100483
BaseRepresentation
bin1001000101111110000…
…00100100010001010100
31002212110122012102020210
410202333000210101110
520104340203222012
6355311201325420
731400416144626
oct4427700442124
91085418172223
10312442242132
11110562555a39
1250678336870
13236037a4c67
141119d79cc16
1581d9b8923c
hex48bf024454

312442242132 has 48 divisors (see below), whose sum is σ = 742946541120. Its totient is φ = 102160451328.

The previous prime is 312442242121. The next prime is 312442242139. The reversal of 312442242132 is 231242244213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312442242132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312442242139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059163 + ... + 3159645.

It is an arithmetic number, because the mean of its divisors is an integer number (15478052940).

Almost surely, 2312442242132 is an apocalyptic number.

It is an amenable number.

312442242132 is an abundant number, since it is smaller than the sum of its proper divisors (430504298988).

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

312442242132 is a wasteful number, since it uses less digits than its factorization.

312442242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105432 (or 105430 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 312442242132 its reverse (231242244213), we get a palindrome (543684486345).

The spelling of 312442242132 in words is "three hundred twelve billion, four hundred forty-two million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 4889 9778 14667 19556 29334 58668 100483 200966 259117 301449 401932 518234 602898 777351 1036468 1205796 1554702 3109404 5325599 10651198 15976797 21302396 31953594 63907188 491261387 982522774 1473784161 1965045548 2947568322 5895136644 26036853511 52073707022 78110560533 104147414044 156221121066 312442242132