Search a number
-
+
312103212201 = 321122739138641
BaseRepresentation
bin1001000101010101100…
…11010001010010101001
31002211121000020220121200
410202222303101102221
520103141410242301
6355213410554413
731356131350314
oct4425263212251
91084530226550
10312103212201
111103a9143810
12505a2898a09
132357b490031
141116a74997b
1581ba01ac86
hex48aacd14a9

312103212201 has 24 divisors (see below), whose sum is σ = 491824176480. Its totient is φ = 189143779200.

The previous prime is 312103212101. The next prime is 312103212221. The reversal of 312103212201 is 102212301213.

312103212201 is a `hidden beast` number, since 3 + 121 + 0 + 321 + 220 + 1 = 666.

It is not a de Polignac number, because 312103212201 - 213 = 312103204009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312103212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2181841 + ... + 2320481.

It is an arithmetic number, because the mean of its divisors is an integer number (20492674020).

Almost surely, 2312103212201 is an apocalyptic number.

It is an amenable number.

312103212201 is a deficient number, since it is larger than the sum of its proper divisors (179720964279).

312103212201 is a wasteful number, since it uses less digits than its factorization.

312103212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161397 (or 161394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312103212201 its reverse (102212301213), we get a palindrome (414315513414).

The spelling of 312103212201 in words is "three hundred twelve billion, one hundred three million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 33 99 22739 68217 138641 204651 250129 415923 750387 1247769 1525051 2251161 4575153 13725459 3152557699 9457673097 28373019291 34678134689 104034404067 312103212201