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11212120100 = 2252112121201
BaseRepresentation
bin10100111000100101…
…10110000000100100
31001221101120201022102
422130102312000210
5140430300320400
65052322351232
7544563306536
oct123422660044
931841521272
1011212120100
114833a49865
12220aabb518
131098b664bc
14785129856
154594de9d5
hex29c4b6024

11212120100 has 18 divisors (see below), whose sum is σ = 24330300834. Its totient is φ = 4484848000.

The previous prime is 11212120091. The next prime is 11212120133. The reversal of 11212120100 is 102121211.

It can be written as a sum of positive squares in 3 ways, for example, as 109704676 + 11102415424 = 10474^2 + 105368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56060501 + ... + 56060700.

Almost surely, 211212120100 is an apocalyptic number.

11212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212120100 is an abundant number, since it is smaller than the sum of its proper divisors (13118180734).

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

11212120100 is a wasteful number, since it uses less digits than its factorization.

11212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112121215 (or 112121208 counting only the distinct ones).

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

Adding to 11212120100 its reverse (102121211), we get a palindrome (11314241311).

The spelling of 11212120100 in words is "eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112121201 224242402 448484804 560606005 1121212010 2242424020 2803030025 5606060050 11212120100