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2133321203331 = 322310994549537
BaseRepresentation
bin11111000010110011110…
…110100011111010000011
321112221110211012201001200
4133002303312203322003
5234423020212001311
64312011221032243
7310061455014663
oct37026366437203
97487424181050
102133321203331
1175281122715a
122a5550b55683
1312622c533276
14753790941a3
153a75c6d1556
hex1f0b3da3e83

2133321203331 has 24 divisors (see below), whose sum is σ = 3244940144160. Its totient is φ = 1347898185216.

The previous prime is 2133321203317. The next prime is 2133321203411. The reversal of 2133321203331 is 1333021233312.

2133321203331 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 321 + 2 + 0 + 3 + 331 = 666.

It is not a de Polignac number, because 2133321203331 - 211 = 2133321201283 is a prime.

It is a super-2 number, since 2×21333212033312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133321203295 and 2133321203304.

It is not an unprimeable number, because it can be changed into a prime (2133321201331) 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 23 ways as a sum of consecutive naturals, for example, 47252206 + ... + 47297331.

It is an arithmetic number, because the mean of its divisors is an integer number (135205839340).

Almost surely, 22133321203331 is an apocalyptic number.

2133321203331 is a deficient number, since it is larger than the sum of its proper divisors (1111618940829).

2133321203331 is a wasteful number, since it uses less digits than its factorization.

2133321203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94549675 (or 94549672 counting only the distinct ones).

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

Adding to 2133321203331 its reverse (1333021233312), we get a palindrome (3466342436643).

The spelling of 2133321203331 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-one million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 109 207 327 981 2507 7521 22563 94549537 283648611 850945833 2174639351 6523918053 10305899533 19571754159 30917698599 92753095797 237035689259 711107067777 2133321203331