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12211002111 = 37111012232347
BaseRepresentation
bin10110101111101010…
…10001101011111111
31011112000011011211110
423113311101223333
5200002004031421
65335404053103
7611412543150
oct132765215377
934460134743
1012211002111
1151a6879690
122449534193
1311c7aa1849
1483ba65927
154b704ea76
hex2d7d51aff

12211002111 has 64 divisors (see below), whose sum is σ = 20600487936. Its totient is φ = 6249744000.

The previous prime is 12211002109. The next prime is 12211002149. The reversal of 12211002111 is 11120011221.

It is not a de Polignac number, because 12211002111 - 21 = 12211002109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211802111) 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 63 ways as a sum of consecutive naturals, for example, 5201640 + ... + 5203986.

It is an arithmetic number, because the mean of its divisors is an integer number (321882624).

Almost surely, 212211002111 is an apocalyptic number.

12211002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211002111 is a deficient number, since it is larger than the sum of its proper divisors (8389485825).

12211002111 is a wasteful number, since it uses less digits than its factorization.

12211002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211002111 its reverse (11120011221), we get a palindrome (23331013332).

The spelling of 12211002111 in words is "twelve billion, two hundred eleven million, two thousand, one hundred eleven".

Divisors: 1 3 7 11 21 33 77 101 223 231 303 669 707 1111 1561 2121 2347 2453 3333 4683 7041 7359 7777 16429 17171 22523 23331 25817 49287 51513 67569 77451 157661 180719 237047 247753 472983 523381 542157 711141 743259 1570143 1659329 1734271 2607517 3663667 4977987 5202813 5757191 7822551 10991001 17271573 18252619 40300337 52861481 54757857 120901011 158584443 370030367 581476291 1110091101 1744428873 4070334037 12211002111