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12211100100 = 22325213567889
BaseRepresentation
bin10110101111101011…
…01001100111000100
31011112000100011020200
423113311221213010
5200002020200400
65335410130500
7611413431633
oct132765514704
934460304220
1012211100100
1151a6936271
122449580a30
1311c7b07324
1483ba8d51a
154b706db00
hex2d7d699c4

12211100100 has 54 divisors (see below), whose sum is σ = 38275017690. Its totient is φ = 3256293120.

The previous prime is 12211100009. The next prime is 12211100147. The reversal of 12211100100 is 100111221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 739404864 + 11471695236 = 27192^2 + 107106^2 .

It is a super-2 number, since 2×122111001002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 6783045 + ... + 6784844.

Almost surely, 212211100100 is an apocalyptic number.

12211100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211100100 is an abundant number, since it is smaller than the sum of its proper divisors (26063917590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211100100 is a wasteful number, since it uses less digits than its factorization.

12211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567909 (or 13567899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211100100 its reverse (100111221), we get a palindrome (12311211321).

The spelling of 12211100100 in words is "twelve billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13567889 27135778 40703667 54271556 67839445 81407334 122111001 135678890 162814668 203518335 244222002 271357780 339197225 407036670 488444004 610555005 678394450 814073340 1017591675 1221110010 1356788900 2035183350 2442220020 3052775025 4070366700 6105550050 12211100100