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10312140201 = 3111392248123
BaseRepresentation
bin10011001101010011…
…01100010110101001
3222121200002222222120
421212221230112221
5132104401441301
64423132541453
7513354513456
oct114651542651
928550088876
1010312140201
114411a30620
121bb9621889
13c8457900c
146db7b682d
154054b8e36
hex266a6c5a9

10312140201 has 16 divisors (see below), whose sum is σ = 15107393280. Its totient is φ = 6204816720.

The previous prime is 10312140191. The next prime is 10312140203. The reversal of 10312140201 is 10204121301.

10312140201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312140201 - 210 = 10312139177 is a prime.

It is a super-3 number, since 3×103121402013 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10312140203) 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 15 ways as a sum of consecutive naturals, for example, 1119475 + ... + 1128648.

It is an arithmetic number, because the mean of its divisors is an integer number (944212080).

Almost surely, 210312140201 is an apocalyptic number.

10312140201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10312140201 is a deficient number, since it is larger than the sum of its proper divisors (4795253079).

10312140201 is a wasteful number, since it uses less digits than its factorization.

10312140201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248276.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10312140201 its reverse (10204121301), we get a palindrome (20516261502).

The spelling of 10312140201 in words is "ten billion, three hundred twelve million, one hundred forty thousand, two hundred one".

Divisors: 1 3 11 33 139 417 1529 4587 2248123 6744369 24729353 74188059 312489097 937467291 3437380067 10312140201