Search a number
-
+
10232231013 = 331934634241
BaseRepresentation
bin10011000011110001…
…10111010001100101
3222102002202012012000
421201320313101211
5131423422343023
64411200115513
7511364346204
oct114170672145
928362665160
1010232231013
114380911674
121b96905b99
13c70b4b084
146d0d3523b
153ed482243
hex261e37465

10232231013 has 32 divisors (see below), whose sum is σ = 15273914880. Its totient is φ = 6769889280.

The previous prime is 10232230993. The next prime is 10232231029. The reversal of 10232231013 is 31013223201.

10232231013 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 10232231013 - 210 = 10232229989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232231033) 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, 2410573 + ... + 2414813.

It is an arithmetic number, because the mean of its divisors is an integer number (477309840).

Almost surely, 210232231013 is an apocalyptic number.

It is an amenable number.

10232231013 is a deficient number, since it is larger than the sum of its proper divisors (5041683867).

10232231013 is a wasteful number, since it uses less digits than its factorization.

10232231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4900 counting only the distinct ones).

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

Adding to 10232231013 its reverse (31013223201), we get a palindrome (41245454214).

It can be divided in two parts, 1023 and 2231013, that added together give a square (2232036 = 14942).

The spelling of 10232231013 in words is "ten billion, two hundred thirty-two million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 27 193 463 579 1389 1737 4167 4241 5211 12501 12723 38169 89359 114507 268077 804231 818513 1963583 2412693 2455539 5890749 7366617 17672247 22099851 53016741 378971519 1136914557 3410743671 10232231013