Search a number
-
+
313103432413441 = 3742731980401341
BaseRepresentation
bin100011100110001000001001…
…0110111011111000100000001
31112001121101200112210010110001
41013030100102313133010001
5312014341312144212231
63025525421532240001
7122643655636324315
oct10714202267370401
91461541615703401
10313103432413441
119084546900a33a
122b149662010001
13105926b0a34127
1457464036c5b45
15262e81373bb61
hex11cc412ddf101

313103432413441 has 8 divisors (see below), whose sum is σ = 321640942756904. Its totient is φ = 304569882881280.

The previous prime is 313103432413427. The next prime is 313103432413487. The reversal of 313103432413441 is 144314234301313.

It can be written as a sum of positive squares in 4 ways, for example, as 84358346702400 + 228745085711041 = 9184680^2 + 15124321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313103432413441 - 217 = 313103432282369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313103432413441.

It is not an unprimeable number, because it can be changed into a prime (313103432413741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990042570 + ... + 990358771.

It is an arithmetic number, because the mean of its divisors is an integer number (40205117844613).

Almost surely, 2313103432413441 is an apocalyptic number.

It is an amenable number.

313103432413441 is a deficient number, since it is larger than the sum of its proper divisors (8537510343463).

313103432413441 is a wasteful number, since it uses less digits than its factorization.

313103432413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980405651.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 313103432413441 its reverse (144314234301313), we get a palindrome (457417666714754).

The spelling of 313103432413441 in words is "three hundred thirteen trillion, one hundred three billion, four hundred thirty-two million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 37 4273 158101 1980401341 73274849617 8462254930093 313103432413441