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11212103120 = 245140151289
BaseRepresentation
bin10100111000100101…
…10001110111010000
31001221101112212000112
422130102301313100
5140430244244440
65052322140452
7544563206201
oct123422616720
931841485015
1011212103120
114833a38029
12220aab1728
131098b5b85a
147851235a8
154594d9965
hex29c4b1dd0

11212103120 has 20 divisors (see below), whose sum is σ = 26068139940. Its totient is φ = 4484841216.

The previous prime is 11212103117. The next prime is 11212103183. The reversal of 11212103120 is 2130121211.

It can be written as a sum of positive squares in 2 ways, for example, as 6982942096 + 4229161024 = 83564^2 + 65032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×112121031202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212103095 and 11212103104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70075565 + ... + 70075724.

It is an arithmetic number, because the mean of its divisors is an integer number (1303406997).

Almost surely, 211212103120 is an apocalyptic number.

11212103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212103120 is an abundant number, since it is smaller than the sum of its proper divisors (14856036820).

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

11212103120 is a wasteful number, since it uses less digits than its factorization.

11212103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140151302 (or 140151296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11212103120 its reverse (2130121211), we get a palindrome (13342224331).

The spelling of 11212103120 in words is "eleven billion, two hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140151289 280302578 560605156 700756445 1121210312 1401512890 2242420624 2803025780 5606051560 11212103120