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231323213313 = 3341208964059
BaseRepresentation
bin1101011101101111110…
…0000001111000000001
3211010002022102210022000
43113123330001320001
512242222220311223
6254133551134213
722466255604423
oct3273374017001
9733068383260
10231323213313
118a115a17a55
12389b9814369
1318a7688911a
14b2a6170813
15603d326543
hex35dbf01e01

231323213313 has 16 divisors (see below), whose sum is σ = 351059620800. Its totient is φ = 150454121760.

The previous prime is 231323213267. The next prime is 231323213323. The reversal of 231323213313 is 313312323132.

231323213313 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 321 + 331 + 3 = 666.

231323213313 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 231323213313 - 26 = 231323213249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231323213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104480923 + ... + 104483136.

It is an arithmetic number, because the mean of its divisors is an integer number (21941226300).

Almost surely, 2231323213313 is an apocalyptic number.

It is an amenable number.

231323213313 is a deficient number, since it is larger than the sum of its proper divisors (119736407487).

231323213313 is a wasteful number, since it uses less digits than its factorization.

231323213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208964109 (or 208964103 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 231323213313 its reverse (313312323132), we get a palindrome (544635536445).

The spelling of 231323213313 in words is "two hundred thirty-one billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 41 123 369 1107 208964059 626892177 1880676531 5642029593 8567526419 25702579257 77107737771 231323213313