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33123103132 = 22743108725309
BaseRepresentation
bin11110110110010010…
…100111000110011100
310011111101221222110111
4132312102213012130
51020314003300012
623114435015404
72251551505540
oct366622470634
9104441858414
1033123103132
11130581456a9
126504a3a564
13317b41bb12
141863137a20
15cdcdd7ba7
hex7b64a719c

33123103132 has 48 divisors (see below), whose sum is σ = 67851857920. Its totient is φ = 13852181952.

The previous prime is 33123103099. The next prime is 33123103133. The reversal of 33123103132 is 23130132133.

It is a super-2 number, since 2×331231031322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33123103133) 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 15 ways as a sum of consecutive naturals, for example, 1296094 + ... + 1321402.

Almost surely, 233123103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33123103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33925928960).

33123103132 is an abundant number, since it is smaller than the sum of its proper divisors (34728754788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33123103132 is a wasteful number, since it uses less digits than its factorization.

33123103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26450 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33123103132 its reverse (23130132133), we get a palindrome (56253235265).

The spelling of 33123103132 in words is "thirty-three billion, one hundred twenty-three million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1087 1204 2174 4348 7609 15218 25309 30436 46741 50618 93482 101236 177163 186964 327187 354326 654374 708652 1088287 1308748 2176574 4353148 7618009 15236018 27510883 30472036 55021766 110043532 192576181 385152362 770304724 1182967969 2365935938 4731871876 8280775783 16561551566 33123103132