Search a number
-
+
231103322231 = 191071391575209
BaseRepresentation
bin1101011100111011010…
…1001101100001110111
3211002111222200011102212
43113032311031201313
512241244422302411
6254100054124035
722460645553515
oct3271665154167
9732458604385
10231103322231
118a012889591
123895805061b
1318a40159162
14b284c914b5
156028d8d68b
hex35ced4d877

231103322231 has 32 divisors (see below), whose sum is σ = 248929632000. Its totient is φ = 213920808192.

The previous prime is 231103322209. The next prime is 231103322323. The reversal of 231103322231 is 132223301132.

It is a cyclic number.

It is not a de Polignac number, because 231103322231 - 214 = 231103305847 is a prime.

It is a super-2 number, since 2×2311033222312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231103322197 and 231103322206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231103322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44363555 + ... + 44368763.

It is an arithmetic number, because the mean of its divisors is an integer number (7779051000).

Almost surely, 2231103322231 is an apocalyptic number.

231103322231 is a deficient number, since it is larger than the sum of its proper divisors (17826309769).

231103322231 is a wasteful number, since it uses less digits than its factorization.

231103322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 231103322231 its reverse (132223301132), we get a palindrome (363326623363).

The spelling of 231103322231 in words is "two hundred thirty-one billion, one hundred three million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 19 107 139 157 2033 2641 2983 5209 14873 16799 21823 98971 282587 319181 414637 557363 724051 817813 2335061 10589897 13756969 15538447 44366159 77473457 87505991 113676007 1471995683 1662613829 2159844133 12163332749 231103322231