Search a number
-
+
12033201301321 = 1632452903809
BaseRepresentation
bin1010111100011011001010…
…1100000110011101001001
31120121100210111011222000011
42233012302230012131021
53034122444013120241
641331550521111521
72351240642301244
oct257066254063511
946540714158004
1012033201301321
11391a28547aa02
1214241469285a1
1369395908a905
142d85a527025b
1515d027b03281
hexaf1b2b06749

12033201301321 has 6 divisors (see below), whose sum is σ = 12107477552730. Its totient is φ = 11959377954048.

The previous prime is 12033201301313. The next prime is 12033201301327. The reversal of 12033201301321 is 12310310233021.

12033201301321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9088325649225 + 2944875652096 = 3014685^2 + 1716064^2 .

It is not a de Polignac number, because 12033201301321 - 23 = 12033201301313 is a prime.

It is a super-2 number, since 2×120332013013212 (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 = 12033201301292 and 12033201301301.

It is not an unprimeable number, because it can be changed into a prime (12033201301327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226425336 + ... + 226478473.

It is an arithmetic number, because the mean of its divisors is an integer number (2017912925455).

Almost surely, 212033201301321 is an apocalyptic number.

It is an amenable number.

12033201301321 is a deficient number, since it is larger than the sum of its proper divisors (74276251409).

12033201301321 is an frugal number, since it uses more digits than its factorization.

12033201301321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452904135 (or 452903972 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12033201301321 its reverse (12310310233021), we get a palindrome (24343511534342).

The spelling of 12033201301321 in words is "twelve trillion, thirty-three billion, two hundred one million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 163 26569 452903809 73823320867 12033201301321