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11122120101 = 383101467947
BaseRepresentation
bin10100101101110111…
…00001010110100101
31001201010020020112010
422112323201112211
5140234230320401
65035345344433
7542421314061
oct122673412645
931633206463
1011122120101
1147981684a4
1221a4938119
131083314571
147771bcaa1
15451662ed6
hex296ee15a5

11122120101 has 32 divisors (see below), whose sum is σ = 15205252608. Its totient is φ = 7229710400.

The previous prime is 11122120063. The next prime is 11122120153. The reversal of 11122120101 is 10102122111.

It is a cyclic number.

It is not a de Polignac number, because 11122120101 - 27 = 11122119973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122120501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11744110 + ... + 11745056.

It is an arithmetic number, because the mean of its divisors is an integer number (475164144).

Almost surely, 211122120101 is an apocalyptic number.

It is an amenable number.

11122120101 is a deficient number, since it is larger than the sum of its proper divisors (4083132507).

11122120101 is a wasteful number, since it uses less digits than its factorization.

11122120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122120101 its reverse (10102122111), we get a palindrome (21224242212).

The spelling of 11122120101 in words is "eleven billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 83 101 249 303 467 947 1401 2841 8383 25149 38761 47167 78601 95647 116283 141501 235803 286941 442249 1326747 3914861 7938701 11744583 23816103 36706667 44667149 110120001 134001447 3707373367 11122120101