Search a number
-
+
10312202313 = 337101540217
BaseRepresentation
bin10011001101010011…
…11011100001001001
3222121200020011012000
421212221323201021
5132104410433223
64423134141213
7513355162530
oct114651734111
928550204160
1010312202313
114411a73256
121bb9651809
13c8459b37a
146db7d1317
154054cc543
hex266a7b849

10312202313 has 32 divisors (see below), whose sum is σ = 17632715520. Its totient is φ = 5834332800.

The previous prime is 10312202309. The next prime is 10312202339. The reversal of 10312202313 is 31320221301.

10312202313 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 10312202313 - 22 = 10312202309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10312202393) 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 31 ways as a sum of consecutive naturals, for example, 251020 + ... + 289197.

It is an arithmetic number, because the mean of its divisors is an integer number (551022360).

Almost surely, 210312202313 is an apocalyptic number.

It is an amenable number.

10312202313 is a deficient number, since it is larger than the sum of its proper divisors (7320513207).

10312202313 is a wasteful number, since it uses less digits than its factorization.

10312202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540334 (or 540328 counting only the distinct ones).

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

Adding to 10312202313 its reverse (31320221301), we get a palindrome (41632423614).

The spelling of 10312202313 in words is "ten billion, three hundred twelve million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 101 189 303 707 909 2121 2727 6363 19089 540217 1620651 3781519 4861953 11344557 14585859 34033671 54561917 102101013 163685751 381933419 491057253 1145800257 1473171759 3437400771 10312202313