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12212131113 = 32713101914633
BaseRepresentation
bin10110101111110011…
…00101010100101001
31011112002021112112100
423113321211110221
5200002301143423
65335444204013
7611425254540
oct132771452451
934462245470
1012212131113
1151a747a946
122449999609
1311c80a86b0
1483bc7b157
154b71c4343
hex2d7e65529

12212131113 has 48 divisors (see below), whose sum is σ = 21733246080. Its totient is φ = 6434802432.

The previous prime is 12212131093. The next prime is 12212131147. The reversal of 12212131113 is 31113121221.

It is not a de Polignac number, because 12212131113 - 25 = 12212131081 is a prime.

It is a super-3 number, since 3×122121311133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12212111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827245 + ... + 841877.

It is an arithmetic number, because the mean of its divisors is an integer number (452775960).

Almost surely, 212212131113 is an apocalyptic number.

12212131113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12212131113 is a deficient number, since it is larger than the sum of its proper divisors (9521114967).

12212131113 is a wasteful number, since it uses less digits than its factorization.

12212131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15675 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12212131113 its reverse (31113121221), we get a palindrome (43325252334).

The spelling of 12212131113 in words is "twelve billion, two hundred twelve million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1019 3057 7133 9171 13247 14633 21399 39741 43899 64197 92729 102431 119223 131697 190229 278187 307293 570687 834561 921879 1331603 1712061 3994809 11984427 14911027 44733081 104377189 134199243 193843351 313131567 581530053 939394701 1356903457 1744590159 4070710371 12212131113