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12233201131011 = 3722912637227081
BaseRepresentation
bin1011001000000100001110…
…0110111001111000000011
31121022111000211010222212210
42302001003212321320003
53100412043442143021
642003504403353203
72401551061635600
oct262010346717003
947274024128783
1012233201131011
113997087135153
121456a62382803
136a978034a3c3
143041393096a7
15163331041e76
hexb20439b9e03

12233201131011 has 48 divisors (see below), whose sum is σ = 19629858241440. Its totient is φ = 6748788533760.

The previous prime is 12233201131007. The next prime is 12233201131079. The reversal of 12233201131011 is 11013110233221.

It is not a de Polignac number, because 12233201131011 - 22 = 12233201131007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12233201141011) 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 47 ways as a sum of consecutive naturals, for example, 53757991 + ... + 53985071.

It is an arithmetic number, because the mean of its divisors is an integer number (408955380030).

Almost surely, 212233201131011 is an apocalyptic number.

12233201131011 is a deficient number, since it is larger than the sum of its proper divisors (7396657110429).

12233201131011 is a wasteful number, since it uses less digits than its factorization.

12233201131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239764 (or 239757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12233201131011 its reverse (11013110233221), we get a palindrome (23246311364232).

The spelling of 12233201131011 in words is "twelve trillion, two hundred thirty-three billion, two hundred one million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 12637 37911 88459 227081 265377 366473 619213 681243 1099419 1589567 1857639 2565311 4768701 6585349 7695933 11126969 17957177 19756047 33380907 46097443 53871531 138292329 322682101 968046303 2869622597 8608867791 20087358179 60262074537 83219055313 140611507253 249657165939 421834521759 582533387191 1747600161573 4077733710337 12233201131011