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12033013041131 = 196111099361801
BaseRepresentation
bin1010111100011010011101…
…1101111100011111101011
31120121100022100221100120112
42233012213131330133223
53034122102314304011
641331520114044535
72351233165150565
oct257064735743753
946540270840515
1012033013041131
11391a199186275
1214240b387974b
13693929084054
142d8588266335
1515d01631758b
hexaf1a777c7eb

12033013041131 has 16 divisors (see below), whose sum is σ = 12885584272800. Its totient is φ = 11202704352000.

The previous prime is 12033013041113. The next prime is 12033013041151. The reversal of 12033013041131 is 13114031033021.

It is a cyclic number.

It is not a de Polignac number, because 12033013041131 - 242 = 7634966530027 is a prime.

It is a super-2 number, since 2×120330130411312 (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 = 12033013041097 and 12033013041106.

It is not an unprimeable number, because it can be changed into a prime (12033013041151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3395570 + ... + 5966231.

It is an arithmetic number, because the mean of its divisors is an integer number (805349017050).

Almost surely, 212033013041131 is an apocalyptic number.

12033013041131 is a deficient number, since it is larger than the sum of its proper divisors (852571231669).

12033013041131 is a wasteful number, since it uses less digits than its factorization.

12033013041131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362990.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12033013041131 its reverse (13114031033021), we get a palindrome (25147044074152).

The spelling of 12033013041131 in words is "twelve trillion, thirty-three billion, thirteen million, forty-one thousand, one hundred thirty-one".

Divisors: 1 19 61 1109 1159 21071 67649 1285331 9361801 177874219 571069861 10382237309 10850327359 197262508871 633316475849 12033013041131