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11220313122 = 2323716847317
BaseRepresentation
bin10100111001100100…
…00110010000100010
31001221221222222000200
422130302012100202
5140434400004442
65053214130030
7545023042104
oct123462062042
931857888020
1011220313122
114838635357
1222117b0916
13109a774745
1478625d574
1545a0ac34c
hex29cc86422

11220313122 has 24 divisors (see below), whose sum is σ = 24967725276. Its totient is φ = 3639020256.

The previous prime is 11220313081. The next prime is 11220313127. The reversal of 11220313122 is 22131302211.

11220313122 is a `hidden beast` number, since 11 + 220 + 313 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10627341921 + 592971201 = 103089^2 + 24351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220313095 and 11220313104.

It is not an unprimeable number, because it can be changed into a prime (11220313127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8422993 + ... + 8424324.

Almost surely, 211220313122 is an apocalyptic number.

11220313122 is an abundant number, since it is smaller than the sum of its proper divisors (13747412154).

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

11220313122 is a wasteful number, since it uses less digits than its factorization.

11220313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16847362 (or 16847359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11220313122 its reverse (22131302211), we get a palindrome (33351615333).

The spelling of 11220313122 in words is "eleven billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 16847317 33694634 50541951 101083902 151625853 303251706 623350729 1246701458 1870052187 3740104374 5610156561 11220313122