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12141330999 = 371930619941
BaseRepresentation
bin10110100111010111…
…00000001000110111
31011100011001112000220
423103223200020313
5144331140042444
65324434505423
7606605416320
oct132353401067
934304045026
1012141330999
115170512756
12242a135273
1311b6519935
148326cb447
154b0d8b619
hex2d3ae0237

12141330999 has 32 divisors (see below), whose sum is σ = 19483138560. Its totient is φ = 6569942400.

The previous prime is 12141330979. The next prime is 12141331003. The reversal of 12141330999 is 99903314121.

12141330999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12141330999 - 223 = 12132942391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12141330999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141330979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216369 + ... + 1226309.

It is an arithmetic number, because the mean of its divisors is an integer number (608848080).

Almost surely, 212141330999 is an apocalyptic number.

12141330999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12141330999 is a deficient number, since it is larger than the sum of its proper divisors (7341807561).

12141330999 is a wasteful number, since it uses less digits than its factorization.

12141330999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 12141330999 in words is "twelve billion, one hundred forty-one million, three hundred thirty thousand, nine hundred ninety-nine".

Divisors: 1 3 7 19 21 57 133 399 3061 9183 9941 21427 29823 58159 64281 69587 174477 188879 208761 407113 566637 1221339 1322153 3966459 30429401 91288203 213005807 578158619 639017421 1734475857 4047110333 12141330999