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12133303033333 = 3137743127711149
BaseRepresentation
bin1011000010010000000100…
…1101111001110111110101
31120221221011202020211100011
42300210001031321313311
53042243001034031313
641445543520420221
72361413363054446
oct260440115716765
946857152224304
1012133303033333
11395878327a849
12143b622777671
136a021c9992c1
142dd37da132cd
15160935c3593d
hexb0901379df5

12133303033333 has 32 divisors (see below), whose sum is σ = 12891760588800. Its totient is φ = 11399224193280.

The previous prime is 12133303033321. The next prime is 12133303033343. The reversal of 12133303033333 is 33333030333121.

12133303033333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12133303033333 - 213 = 12133303025141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12133303033295 and 12133303033304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133303033343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088280643 + ... + 1088291791.

It is an arithmetic number, because the mean of its divisors is an integer number (402867518400).

Almost surely, 212133303033333 is an apocalyptic number.

It is an amenable number.

12133303033333 is a deficient number, since it is larger than the sum of its proper divisors (758457555467).

12133303033333 is a wasteful number, since it uses less digits than its factorization.

12133303033333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237.

The product of its (nonzero) digits is 39366, while the sum is 31.

Adding to 12133303033333 its reverse (33333030333121), we get a palindrome (45466333366454).

The spelling of 12133303033333 in words is "twelve trillion, one hundred thirty-three billion, three hundred three million, thirty-three thousand, three hundred thirty-three".

Divisors: 1 31 37 743 1147 1277 11149 23033 27491 39587 47249 345619 412513 852221 948811 1464719 8283707 12787903 14237273 29413141 35106007 256794917 306497159 441355463 526779101 1088286217 9501411929 10578293839 16330152131 327927109009 391396872043 12133303033333