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12033155133021 = 3114383102168973
BaseRepresentation
bin1010111100011010111111…
…1011111110111001011101
31120121100200021022101000010
42233012233323332321131
53034122400203224041
641331542151353433
72351236542002631
oct257065773767135
946540607271003
1012033155133021
11391a261406a90
121424133382879
1369394c6445a9
142d859d092dc1
1515d023a33a16
hexaf1afefee5d

12033155133021 has 32 divisors (see below), whose sum is σ = 18125593339392. Its totient is φ = 7037398791360.

The previous prime is 12033155133007. The next prime is 12033155133073.

12033155133021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12033155133021 - 210 = 12033155131997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12033155133021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033155131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50966710 + ... + 51202263.

It is an arithmetic number, because the mean of its divisors is an integer number (566424791856).

Almost surely, 212033155133021 is an apocalyptic number.

12033155133021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12033155133021 is a deficient number, since it is larger than the sum of its proper divisors (6092438206371).

12033155133021 is a wasteful number, since it uses less digits than its factorization.

12033155133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102169113.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 1203315 and 5133021, that added together give a palindrome (6336336).

The spelling of 12033155133021 in words is "twelve trillion, thirty-three billion, one hundred fifty-five million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 11 33 43 83 129 249 473 913 1419 2739 3569 10707 39259 117777 102168973 306506919 1123858703 3371576109 4393265839 8480024759 13179797517 25440074277 48325924229 93280272349 144977772687 279840817047 364641064637 1093923193911 4011051711007 12033155133021