Search a number
-
+
12133013123023 = 135387564130713
BaseRepresentation
bin1011000010001110111111…
…1011111110111111001111
31120221220102112201212011021
42300203233323332333033
53042241402324414043
641445455042535011
72361403242630052
oct260435773767717
946856375655137
1012133013123023
113958644667951
12143b561667467
136a01a48c1b40
142dd353308a99
1516091a56b3ed
hexb08efefefcf

12133013123023 has 16 divisors (see below), whose sum is σ = 13071489683616. Its totient is φ = 11195275829760.

The previous prime is 12133013122973. The next prime is 12133013123081. The reversal of 12133013123023 is 32032131033121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133013123023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133013126023) 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 15 ways as a sum of consecutive naturals, for example, 395029515 + ... + 395060227.

It is an arithmetic number, because the mean of its divisors is an integer number (816968105226).

Almost surely, 212133013123023 is an apocalyptic number.

12133013123023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12133013123023 is a deficient number, since it is larger than the sum of its proper divisors (938476560593).

12133013123023 is a wasteful number, since it uses less digits than its factorization.

12133013123023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41754.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12133013123023 its reverse (32032131033121), we get a palindrome (44165144156144).

The spelling of 12133013123023 in words is "twelve trillion, one hundred thirty-three billion, thirteen million, one hundred twenty-three thousand, twenty-three".

Divisors: 1 13 5387 5641 30713 70031 73333 399269 30388067 165450931 173252033 395044871 2150862103 2252276429 933308701771 12133013123023