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311320230201 = 32318382916217
BaseRepresentation
bin1001000011111000010…
…00011011100100111001
31002202120102221022020100
410201330020123210321
520100040434331301
6355004000550013
731330543203051
oct4417410334471
91082512838210
10311320230201
11110037176852
1250404622309
13234851b8186
14110d4770561
158171406286
hex487c21b939

311320230201 has 48 divisors (see below), whose sum is σ = 470379087360. Its totient is φ = 198180276480.

The previous prime is 311320230161. The next prime is 311320230233. The reversal of 311320230201 is 102032023113.

311320230201 is a `hidden beast` number, since 311 + 320 + 2 + 30 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 311320230201 - 214 = 311320213817 is a prime.

It is a super-3 number, since 3×3113202302013 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (311320230281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19189045 + ... + 19205261.

It is an arithmetic number, because the mean of its divisors is an integer number (9799564320).

Almost surely, 2311320230201 is an apocalyptic number.

311320230201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

311320230201 is a deficient number, since it is larger than the sum of its proper divisors (159058857159).

311320230201 is a wasteful number, since it uses less digits than its factorization.

311320230201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 311320230201 its reverse (102032023113), we get a palindrome (413352253314).

The spelling of 311320230201 in words is "three hundred eleven billion, three hundred twenty million, two hundred thirty thousand, two hundred one".

Divisors: 1 3 9 31 83 93 249 279 747 829 2487 2573 7461 7719 16217 23157 25699 48651 68807 77097 145953 206421 231291 502727 619263 1346011 1508181 2133017 4038033 4524543 6399051 12114099 13443893 19197153 40331679 41726341 120995037 125179023 375537069 416760683 1115843119 1250282049 3347529357 3750846147 10042588071 34591136689 103773410067 311320230201