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2133323232131 = 72133998383761
BaseRepresentation
bin11111000010110011111…
…110010011001110000011
321112221110222000210001102
4133002303332103032003
5234423021221412011
64312011332325015
7310061511164600
oct37026376231603
97487428023042
102133323232131
11752812392453
122a555177376b
1312622ca93840
14753794616a7
153a75c98273b
hex1f0b3f93383

2133323232131 has 24 divisors (see below), whose sum is σ = 2672613566784. Its totient is φ = 1687841729280.

The previous prime is 2133323232121. The next prime is 2133323232151. The reversal of 2133323232131 is 1312323233312.

It is a de Polignac number, because none of the positive numbers 2k-2133323232131 is a prime.

It is a super-2 number, since 2×21333232321312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133323232094 and 2133323232103.

It is not an unprimeable number, because it can be changed into a prime (2133323232101) 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, 25427291 + ... + 25511051.

It is an arithmetic number, because the mean of its divisors is an integer number (111358898616).

Almost surely, 22133323232131 is an apocalyptic number.

2133323232131 is a deficient number, since it is larger than the sum of its proper divisors (539290334653).

2133323232131 is a wasteful number, since it uses less digits than its factorization.

2133323232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123771 (or 123764 counting only the distinct ones).

The product of its digits is 11664, while the sum is 29.

Adding to 2133323232131 its reverse (1312323233312), we get a palindrome (3445646465443).

The spelling of 2133323232131 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 13 49 91 637 39983 83761 279881 519779 586327 1088893 1959167 3638453 4104289 7622251 25469171 53355757 3349016063 23443112441 43537208819 164101787087 304760461733 2133323232131