Search a number
-
+
311303302101 = 32115538156779
BaseRepresentation
bin1001000011110110001…
…11110110101111010101
31002202112021002021020200
410201323013312233111
520100022121131401
6355002154051113
731330246260021
oct4417307665725
91082467067220
10311303302101
11110028664490
12503baa19a99
132348183c04c
14110d2405381
15816ebb0686
hex487b1f6bd5

311303302101 has 24 divisors (see below), whose sum is σ = 490556033760. Its totient is φ = 188661938400.

The previous prime is 311303302069. The next prime is 311303302159. The reversal of 311303302101 is 101203303113.

It is a happy number.

311303302101 is a `hidden beast` number, since 311 + 3 + 0 + 330 + 21 + 0 + 1 = 666.

It is not a de Polignac number, because 311303302101 - 25 = 311303302069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311303302001) 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 23 ways as a sum of consecutive naturals, for example, 5454330 + ... + 5511108.

It is an arithmetic number, because the mean of its divisors is an integer number (20439834740).

Almost surely, 2311303302101 is an apocalyptic number.

It is an amenable number.

311303302101 is a deficient number, since it is larger than the sum of its proper divisors (179252731659).

311303302101 is a wasteful number, since it uses less digits than its factorization.

311303302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112177 (or 112174 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 311303302101 its reverse (101203303113), we get a palindrome (412506605214).

The spelling of 311303302101 in words is "three hundred eleven billion, three hundred three million, three hundred two thousand, one hundred one".

Divisors: 1 3 9 11 33 99 55381 56779 166143 170337 498429 511011 609191 624569 1827573 1873707 5482719 5621121 3144477799 9433433397 28300300191 34589255789 103767767367 311303302101