Search a number
-
+
312441041121 = 31127893394733
BaseRepresentation
bin1001000101111101110…
…11111111000011100001
31002212110112221101202220
410202332323333003201
520104334401303441
6355311115501253
731400403013266
oct4427673770341
91085415841686
10312441041121
11110561905670
1250677a57829
13236034743c1
141119d56926d
1581d99ed466
hex48beeff0e1

312441041121 has 16 divisors (see below), whose sum is σ = 454622777280. Its totient is φ = 189290256320.

The previous prime is 312441041069. The next prime is 312441041123. The reversal of 312441041121 is 121140144213.

It is a happy number.

It is not a de Polignac number, because 312441041121 - 29 = 312441040609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312441041091 and 312441041100.

It is not an unprimeable number, because it can be changed into a prime (312441041123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605330 + ... + 1789403.

It is an arithmetic number, because the mean of its divisors is an integer number (28413923580).

Almost surely, 2312441041121 is an apocalyptic number.

It is an amenable number.

312441041121 is a deficient number, since it is larger than the sum of its proper divisors (142181736159).

312441041121 is a wasteful number, since it uses less digits than its factorization.

312441041121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397536.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 312441041121 its reverse (121140144213), we get a palindrome (433581185334).

The spelling of 312441041121 in words is "three hundred twelve billion, four hundred forty-one million, forty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 2789 8367 30679 92037 3394733 10184199 37342063 112026189 9467910337 28403731011 104147013707 312441041121