Search a number
-
+
33122311033 = 7712814872
BaseRepresentation
bin11110110110001111…
…100101101101111001
310011111100110201220111
4132312033211231321
51020313302423113
623114410024321
72251541666320
oct366617455571
9104440421814
1033122311033
1113057754579
1265047180a1
13317b202416
141862dad0b7
15cdcccd13d
hex7b63e5b79

33122311033 has 24 divisors (see below), whose sum is σ = 38603101824. Its totient is φ = 27833803200.

The previous prime is 33122310997. The next prime is 33122311049. The reversal of 33122311033 is 33011322133.

It is not a de Polignac number, because 33122311033 - 233 = 24532376441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33122310995 and 33122311013.

It is not an unprimeable number, because it can be changed into a prime (33122311093) 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, 68012716 + ... + 68013202.

It is an arithmetic number, because the mean of its divisors is an integer number (1608462576).

Almost surely, 233122311033 is an apocalyptic number.

It is an amenable number.

33122311033 is a deficient number, since it is larger than the sum of its proper divisors (5480790791).

33122311033 is an frugal number, since it uses more digits than its factorization.

33122311033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 846 counting only the distinct ones).

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

Adding to 33122311033 its reverse (33011322133), we get a palindrome (66133633166).

The spelling of 33122311033 in words is "thirty-three billion, one hundred twenty-two million, three hundred eleven thousand, thirty-three".

Divisors: 1 7 71 281 487 497 1967 3409 19951 34577 136847 139657 237169 242039 957929 1660183 9716137 16838999 66644489 68012959 117872993 466511423 4731758719 33122311033