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12212213101 = 1122321011889
BaseRepresentation
bin10110101111110011…
…11001010101101101
31011112002102200222221
423113321321111231
5200002311304401
65335450035341
7611426045554
oct132771712555
934462380887
1012212213101
1151a7526500
122449a18b51
1311c8106aca
1483bc9cd9b
154b71dd7a1
hex2d7e7956d

12212213101 has 36 divisors (see below), whose sum is σ = 14178776220. Its totient is φ = 10508608000.

The previous prime is 12212213099. The next prime is 12212213173. The reversal of 12212213101 is 10131221221.

It can be written as a sum of positive squares in 2 ways, for example, as 9389416201 + 2822796900 = 96899^2 + 53130^2 .

It is not a de Polignac number, because 12212213101 - 21 = 12212213099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212211101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6463965 + ... + 6465853.

It is an arithmetic number, because the mean of its divisors is an integer number (393854895).

Almost surely, 212212213101 is an apocalyptic number.

12212213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212213101 is a deficient number, since it is larger than the sum of its proper divisors (1966563119).

12212213101 is a wasteful number, since it uses less digits than its factorization.

12212213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12212213101 its reverse (10131221221), we get a palindrome (22343434322).

The spelling of 12212213101 in words is "twelve billion, two hundred twelve million, two hundred thirteen thousand, one hundred one".

Divisors: 1 11 23 101 121 253 529 1111 1889 2323 2783 5819 12221 20779 25553 43447 53429 64009 190789 228569 281083 477917 587719 999281 2098679 4388147 5257087 6464909 10992091 23085469 48269617 100927381 120913001 530965787 1110201191 12212213101