Search a number
-
+
312132421441003 = 23149405722450177
BaseRepresentation
bin100011011111000011111111…
…0000110100101010111101011
31111221011120100010022212212111
41012332013332012211113223
5311402434144342103003
63023503353241223151
7122513552244253522
oct10676077606452753
91457146303285774
10312132421441003
119050068669a969
122b011430491ab7
1310521c65551147
14571140b3214b9
152614431ea1e6d
hex11be1fe1a55eb

312132421441003 has 16 divisors (see below), whose sum is σ = 327970160366400. Its totient is φ = 296484567515136.

The previous prime is 312132421440991. The next prime is 312132421441021. The reversal of 312132421441003 is 300144124231213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 312132421441003 - 245 = 276948049352171 is a prime.

It is a super-2 number, since 2×3121324214410032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312132421441403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678251 + ... + 25128427.

It is an arithmetic number, because the mean of its divisors is an integer number (20498135022900).

Almost surely, 2312132421441003 is an apocalyptic number.

312132421441003 is a deficient number, since it is larger than the sum of its proper divisors (15837738925397).

312132421441003 is a wasteful number, since it uses less digits than its factorization.

312132421441003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22454406.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 312132421441003 its reverse (300144124231213), we get a palindrome (612276545672216).

The spelling of 312132421441003 in words is "three hundred twelve trillion, one hundred thirty-two billion, four hundred twenty-one million, four hundred forty-one thousand, three".

Divisors: 1 23 149 3427 4057 93311 604493 13903339 22450177 516354071 3345076373 76936756579 91080368089 2094848466047 13570974845261 312132421441003