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233122131113 = 2310135744831
BaseRepresentation
bin1101100100011100101…
…0010110110010101001
3211021201200102021121012
43121013022112302221
512304413231143423
6255032252153305
722561661263634
oct3310712266251
9737650367535
10233122131113
118a959402583
1239220168835
1318ca248a721
14b3d7044c1b
1560e6219078
hex3647296ca9

233122131113 has 4 divisors (see below), whose sum is σ = 243257875968. Its totient is φ = 222986386260.

The previous prime is 233122131107. The next prime is 233122131127. The reversal of 233122131113 is 311131221332.

233122131113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 233122131113 - 222 = 233117936809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 10135744831 = 233122131113 / (2 + 3 + 3 + 1 + 2 + 2 + 1 + 3 + 1 + 1 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233122131103) 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 3 ways as a sum of consecutive naturals, for example, 5067872393 + ... + 5067872438.

It is an arithmetic number, because the mean of its divisors is an integer number (60814468992).

Almost surely, 2233122131113 is an apocalyptic number.

233122131113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233122131113 is a deficient number, since it is larger than the sum of its proper divisors (10135744855).

233122131113 is a wasteful number, since it uses less digits than its factorization.

233122131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135744854.

The product of its digits is 648, while the sum is 23.

Adding to 233122131113 its reverse (311131221332), we get a palindrome (544253352445).

The spelling of 233122131113 in words is "two hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 23 10135744831 233122131113