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33122120232 = 23323433138577
BaseRepresentation
bin11110110110001110…
…110111001000101000
310011111100010001011210
4132312032313020220
51020313230321412
623114401553120
72251540243125
oct366616671050
9104440101153
1033122120232
1113057634193
1265046457a0
13317b166616
141862d5d74c
15cdcc9183c
hex7b63b7228

33122120232 has 64 divisors (see below), whose sum is σ = 86605706880. Its totient is φ = 10536210432.

The previous prime is 33122120191. The next prime is 33122120309. The reversal of 33122120232 is 23202122133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33122120199 and 33122120208.

It is an unprimeable number.

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, 169728 + ... + 308304.

It is an arithmetic number, because the mean of its divisors is an integer number (1353214170).

Almost surely, 233122120232 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 33122120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43302853440).

33122120232 is an abundant number, since it is smaller than the sum of its proper divisors (53483586648).

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

33122120232 is a wasteful number, since it uses less digits than its factorization.

33122120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139042 (or 139038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33122120232 its reverse (23202122133), we get a palindrome (56324242365).

The spelling of 33122120232 in words is "thirty-three billion, one hundred twenty-two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 433 552 866 1299 1732 2598 3464 5196 9959 10392 19918 29877 39836 59754 79672 119508 138577 239016 277154 415731 554308 831462 1108616 1662924 3187271 3325848 6374542 9561813 12749084 19123626 25498168 38247252 60003841 76494504 120007682 180011523 240015364 360023046 480030728 720046092 1380088343 1440092184 2760176686 4140265029 5520353372 8280530058 11040706744 16561060116 33122120232