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331331231133 = 3371753075297
BaseRepresentation
bin1001101001001001110…
…00010101110110011101
31011200020001011110221000
410310210320111312131
520412031243344013
6412113402100513
732636460665460
oct4644470256635
91150201143830
10331331231133
11118575929a51
125426a1aa739
1325323c45126
14120722bb2d7
1589430e6973
hex4d24e15d9d

331331231133 has 16 divisors (see below), whose sum is σ = 560984095360. Its totient is φ = 189332131968.

The previous prime is 331331231129. The next prime is 331331231141. The reversal of 331331231133 is 331132133133.

331331231133 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 312 + 311 + 33 = 666.

It is not a de Polignac number, because 331331231133 - 22 = 331331231129 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331331231097 and 331331231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331231173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876537460 + ... + 876537837.

It is an arithmetic number, because the mean of its divisors is an integer number (35061505960).

Almost surely, 2331331231133 is an apocalyptic number.

It is an amenable number.

331331231133 is a deficient number, since it is larger than the sum of its proper divisors (229652864227).

331331231133 is a wasteful number, since it uses less digits than its factorization.

331331231133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753075313 (or 1753075307 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 331331231133 its reverse (331132133133), we get a palindrome (662463364266).

The spelling of 331331231133 in words is "three hundred thirty-one billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 1753075297 5259225891 12271527079 15777677673 36814581237 47333033019 110443743711 331331231133