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12000102202011 = 3721114535107511
BaseRepresentation
bin1010111010011111110111…
…0101000011101010011011
31120111012100202101111121010
42232213331311003222123
53033102202130431021
641304434300345003
72345656501505400
oct256477565035233
946435322344533
1012000102202011
11390723a93a780
121419849b45163
136907b2924751
142d6b453c42a7
1515c23bdac976
hexae9fdd43a9b

12000102202011 has 48 divisors (see below), whose sum is σ = 20318418217728. Its totient is φ = 6229527796800.

The previous prime is 12000102202007. The next prime is 12000102202027. The reversal of 12000102202011 is 11020220100021.

It is not a de Polignac number, because 12000102202011 - 22 = 12000102202007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000102202811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204255 + ... + 4903256.

It is an arithmetic number, because the mean of its divisors is an integer number (423300379536).

Almost surely, 212000102202011 is an apocalyptic number.

12000102202011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000102202011 is a deficient number, since it is larger than the sum of its proper divisors (8318316015717).

12000102202011 is a wasteful number, since it uses less digits than its factorization.

12000102202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108992 (or 5108985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000102202011 its reverse (11020220100021), we get a palindrome (23020322302032).

The spelling of 12000102202011 in words is "twelve trillion, one hundred two million, two hundred two thousand, eleven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1453 1617 4359 10171 15983 30513 47949 71197 111881 213591 335643 783167 2349501 5107511 15322533 35752577 56182621 107257731 168547863 250268039 393278347 750804117 1179835041 2752948429 7421213483 8258845287 22263640449 51948494381 81633348313 155845483143 244900044939 363639460667 571433438191 1090918382001 1714300314573 4000034067337 12000102202011