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12211112001011 = 7116181116971889
BaseRepresentation
bin1011000110110001111011…
…1111100011110111110011
31121020101000101112221000212
42301230132333203313303
53100031324133013021
641545412444534335
72400136511266640
oct261543677436763
947211011487025
1012211112001011
113988781421910
1214527188513ab
136a766cbbc491
143030417a6dc7
1516298bba985b
hexb1b1efe3df3

12211112001011 has 64 divisors (see below), whose sum is σ = 15510237281280. Its totient is φ = 9337171968000.

The previous prime is 12211112000993. The next prime is 12211112001037. The reversal of 12211112001011 is 11010021111221.

It is a cyclic number.

It is not a de Polignac number, because 12211112001011 - 210 = 12211111999987 is a prime.

It is a super-2 number, since 2×122111120010112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211112001091) 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 63 ways as a sum of consecutive naturals, for example, 6464325155 + ... + 6464327043.

It is an arithmetic number, because the mean of its divisors is an integer number (242347457520).

Almost surely, 212211112001011 is an apocalyptic number.

12211112001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211112001011 is a deficient number, since it is larger than the sum of its proper divisors (3299125280269).

12211112001011 is a wasteful number, since it uses less digits than its factorization.

12211112001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12211112001011 its reverse (11010021111221), we get a palindrome (23221133112232).

The spelling of 12211112001011 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one thousand, eleven".

Divisors: 1 7 11 61 77 427 671 811 1697 1889 4697 5677 8921 11879 13223 18667 20779 49471 62447 103517 115229 130669 145453 346297 544181 724619 806603 1138687 1267519 1376267 1531979 3205633 3809267 7970809 8872633 9633869 10723853 15138937 16851769 22439431 35261963 83952287 93450719 105972559 117962383 195543613 246833741 587666009 654155033 923475157 1027957909 1368805291 2150979743 2599768363 6464326099 7195705363 15056858201 18198378541 28597451993 158585870143 200182163951 1110101091001 1744444571573 12211112001011