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133020003012 = 223133532415559
BaseRepresentation
bin111101111100010011…
…1000010101011000100
3110201100101121021221020
41323320213002223010
54134411110044022
6141035240151140
712416234240601
oct1737047025304
9421311537836
10133020003012
1151460362096
12219441684b0
13c70b770970
14661c5db6a8
1536d805935c
hex1ef89c2ac4

133020003012 has 48 divisors (see below), whose sum is σ = 335202430080. Its totient is φ = 40813267968.

The previous prime is 133020002971. The next prime is 133020003013. The reversal of 133020003012 is 210300020331.

It is a junction number, because it is equal to n+sod(n) for n = 133020002982 and 133020003000.

It is not an unprimeable number, because it can be changed into a prime (133020003013) 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, 1152712 + ... + 1262847.

It is an arithmetic number, because the mean of its divisors is an integer number (6983383960).

Almost surely, 2133020003012 is an apocalyptic number.

133020003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133020003012 is an abundant number, since it is smaller than the sum of its proper divisors (202182427068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133020003012 is a wasteful number, since it uses less digits than its factorization.

133020003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415932 (or 2415930 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 133020003012 its reverse (210300020331), we get a palindrome (343320023343).

The spelling of 133020003012 in words is "one hundred thirty-three billion, twenty million, three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 706 1059 1412 2118 4236 4589 9178 13767 18356 27534 55068 2415559 4831118 7246677 9662236 14493354 28986708 31402267 62804534 94206801 125609068 188413602 376827204 852692327 1705384654 2558076981 3410769308 5116153962 10232307924 11085000251 22170000502 33255000753 44340001004 66510001506 133020003012