Search a number
-
+
33123011321 = 2324115593833
BaseRepresentation
bin11110110110010010…
…010000101011111001
310011111101210022112002
4132312102100223321
51020313442330241
623114433030345
72251550644061
oct366622205371
9104441708462
1033123011321
1113058092724
1265049b53b5
13317b3b90aa
1418631123a1
15cdcdba89b
hex7b6490af9

33123011321 has 16 divisors (see below), whose sum is σ = 34737880320. Its totient is φ = 31522951680.

The previous prime is 33123011297. The next prime is 33123011329. The reversal of 33123011321 is 12311032133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33123011321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33123011293 and 33123011302.

It is not an unprimeable number, because it can be changed into a prime (33123011329) 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, 8639621 + ... + 8643453.

It is an arithmetic number, because the mean of its divisors is an integer number (2171117520).

Almost surely, 233123011321 is an apocalyptic number.

It is an amenable number.

33123011321 is a deficient number, since it is larger than the sum of its proper divisors (1614868999).

33123011321 is a wasteful number, since it uses less digits than its factorization.

33123011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33123011321 its reverse (12311032133), we get a palindrome (45434043454).

The spelling of 33123011321 in words is "thirty-three billion, one hundred twenty-three million, eleven thousand, three hundred twenty-one".

Divisors: 1 23 241 1559 3833 5543 35857 88159 375719 923753 5975647 8641537 21246319 137439881 1440130927 33123011321