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12011313133331 = 231294994032703
BaseRepresentation
bin1010111011001001101000…
…0011010111011100010011
31120112021022001201211012122
42232302122003113130103
53033243132130231311
641313530541444455
72346534352034351
oct256623203273423
946467261654178
1012011313133331
113910a73147376
12141ba5857072b
1369187b462b15
142d74ca2c07d1
1515c6962150db
hexaec9a0d7713

12011313133331 has 8 divisors (see below), whose sum is σ = 12533644032000. Its totient is φ = 11488990559112.

The previous prime is 12011313133291. The next prime is 12011313133343. The reversal of 12011313133331 is 13333131311021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011313133331 is a prime.

It is a super-2 number, since 2×120113131333312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12011313133331.

It is not an unprimeable number, because it can be changed into a prime (12011313132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962126 + ... + 4994828.

It is an arithmetic number, because the mean of its divisors is an integer number (1566705504000).

Almost surely, 212011313133331 is an apocalyptic number.

12011313133331 is a deficient number, since it is larger than the sum of its proper divisors (522330898669).

12011313133331 is a wasteful number, since it uses less digits than its factorization.

12011313133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162225.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 12011313133331 its reverse (13333131311021), we get a palindrome (25344444444352).

The spelling of 12011313133331 in words is "twelve trillion, eleven billion, three hundred thirteen million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 23 129499 2978477 4032703 92752169 522231005797 12011313133331