Search a number
-
+
11331100201313 = 415335997714867
BaseRepresentation
bin1010010011100011101000…
…1100111101000101100001
31111010020112212002121220102
42210320322030331011201
52441122043122420223
640033234025552145
72246434140356564
oct244707214750541
944106485077812
1011331100201313
113679546731822
121330062645655
13642697539239
142b25dccb44db
15149b34367928
hexa4e3a33d161

11331100201313 has 32 divisors (see below), whose sum is σ = 11872357297920. Its totient is φ = 10804142602240.

The previous prime is 11331100201237. The next prime is 11331100201367. The reversal of 11331100201313 is 31310200113311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331100201313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331100201513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762157106 + ... + 762171972.

It is an arithmetic number, because the mean of its divisors is an integer number (371011165560).

Almost surely, 211331100201313 is an apocalyptic number.

It is an amenable number.

11331100201313 is a deficient number, since it is larger than the sum of its proper divisors (541257096607).

11331100201313 is a wasteful number, since it uses less digits than its factorization.

11331100201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11331100201313 its reverse (31310200113311), we get a palindrome (42641300314624).

The spelling of 11331100201313 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, two hundred one thousand, three hundred thirteen".

Divisors: 1 41 53 359 977 2173 14719 14867 19027 40057 51781 350743 609547 780107 787951 2123021 5337253 14380463 14525059 18589379 32305991 218827373 282874409 595527419 762164539 769828127 5214496181 11597850769 31562953207 213794343421 276368297593 11331100201313