Search a number
-
+
12133020033331 = 83654722327931
BaseRepresentation
bin1011000010001111000001…
…0110010110000100110011
31120221220110000201221022121
42300203300112112010303
53042241411112031311
641445455451015111
72361403355440531
oct260436026260463
946856400657277
1012133020033331
11395864855774a
12143b563a3a497
136a01a6171292
142dd3541c7151
1516091ae83b71
hexb08f0596133

12133020033331 has 8 divisors (see below), whose sum is σ = 12281077093824. Its totient is φ = 11985007641960.

The previous prime is 12133020033319. The next prime is 12133020033359. The reversal of 12133020033331 is 13333002033121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133020033331 is a prime.

It is a super-2 number, since 2×121330200333312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133020033296 and 12133020033305.

It is not an unprimeable number, because it can be changed into a prime (12133020033301) 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 7 ways as a sum of consecutive naturals, for example, 10620565 + ... + 11707366.

It is an arithmetic number, because the mean of its divisors is an integer number (1535134636728).

Almost surely, 212133020033331 is an apocalyptic number.

12133020033331 is a deficient number, since it is larger than the sum of its proper divisors (148057060493).

12133020033331 is an equidigital number, since it uses as much as digits as its factorization.

12133020033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22334561.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 12133020033331 its reverse (13333002033121), we get a palindrome (25466022066452).

The spelling of 12133020033331 in words is "twelve trillion, one hundred thirty-three billion, twenty million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 83 6547 543401 22327931 1853218273 146180964257 12133020033331