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1330222331331 = 33195943949593
BaseRepresentation
bin10011010110110111011…
…011011111010111000011
311201011112110222221212000
4103112313123133113003
5133243243404100311
62455032401035043
7165051102153465
oct23266733372703
94634473887760
101330222331331
11473164911023
12195980925a83
139859356512a
144855134a135
152490731a056
hex135b76df5c3

1330222331331 has 32 divisors (see below), whose sum is σ = 2109580512000. Its totient is φ = 825900732864.

The previous prime is 1330222331299. The next prime is 1330222331413. The reversal of 1330222331331 is 1331332220331.

1330222331331 is a `hidden beast` number, since 1 + 3 + 302 + 2 + 23 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 1330222331331 - 25 = 1330222331299 is a prime.

It is a super-2 number, since 2×13302223313312 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330222331295 and 1330222331304.

It is not an unprimeable number, because it can be changed into a prime (1330222331131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21944530 + ... + 22005063.

It is an arithmetic number, because the mean of its divisors is an integer number (65924391000).

Almost surely, 21330222331331 is an apocalyptic number.

1330222331331 is a deficient number, since it is larger than the sum of its proper divisors (779358180669).

1330222331331 is a wasteful number, since it uses less digits than its factorization.

1330222331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43949680 (or 43949674 counting only the distinct ones).

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

Adding to 1330222331331 its reverse (1331332220331), we get a palindrome (2661554551662).

The spelling of 1330222331331 in words is "one trillion, three hundred thirty billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 59 171 177 513 531 1121 1593 3363 10089 30267 43949593 131848779 395546337 835042267 1186639011 2505126801 2593025987 7515380403 7779077961 22546141209 23337233883 49267493753 70011701649 147802481259 443407443777 1330222331331