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12211102010 = 257316727537
BaseRepresentation
bin10110101111101011…
…01010000100111010
31011112000100020212102
423113311222010322
5200002020231020
65335410143402
7611413440332
oct132765520472
934460306772
1012211102010
1151a6937748
122449581b62
1311c7b08163
1483ba900c2
154b706e475
hex2d7d6a13a

12211102010 has 16 divisors (see below), whose sum is σ = 22281080616. Its totient is φ = 4817530368.

The previous prime is 12211102009. The next prime is 12211102069. The reversal of 12211102010 is 1020111221.

It can be written as a sum of positive squares in 4 ways, for example, as 11013872809 + 1197229201 = 104947^2 + 34601^2 .

It is a super-2 number, since 2×122111020102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211101982 and 12211102000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8363039 + ... + 8364498.

Almost surely, 212211102010 is an apocalyptic number.

12211102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211102010 is a deficient number, since it is larger than the sum of its proper divisors (10069978606).

12211102010 is a wasteful number, since it uses less digits than its factorization.

12211102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727617.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12211102010 its reverse (1020111221), we get a palindrome (13231213231).

The spelling of 12211102010 in words is "twelve billion, two hundred eleven million, one hundred two thousand, ten".

Divisors: 1 2 5 10 73 146 365 730 16727537 33455074 83637685 167275370 1221110201 2442220402 6105551005 12211102010