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11112102220122 = 2341031388347969
BaseRepresentation
bin1010000110110011110011…
…1001111101000101011010
31110100022021111202111120000
42201230330321331011122
52424030041132020442
635344455043113430
72224552152265401
oct241547471750532
943308244674500
1011112102220122
1135a4686014122
1212b5724672876
13627b36308497
142a5b85a22638
151440b8106d4c
hexa1b3ce7d15a

11112102220122 has 80 divisors (see below), whose sum is σ = 25143416400960. Its totient is φ = 3667731902208.

The previous prime is 11112102220081. The next prime is 11112102220129. The reversal of 11112102220122 is 22102220121111.

11112102220122 is a `hidden beast` number, since 1 + 111 + 210 + 2 + 220 + 122 = 666.

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 = 11112102220095 and 11112102220104.

It is not an unprimeable number, because it can be changed into a prime (11112102220129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231627754 + ... + 231675722.

It is an arithmetic number, because the mean of its divisors is an integer number (314292705012).

Almost surely, 211112102220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112102220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571708200480).

11112102220122 is an abundant number, since it is smaller than the sum of its proper divisors (14031314180838).

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

11112102220122 is a wasteful number, since it uses less digits than its factorization.

11112102220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61969 (or 61960 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11112102220122 its reverse (22102220121111), we get a palindrome (33214322341233).

The spelling of 11112102220122 in words is "eleven trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 5562 8343 13883 16686 27766 41649 47969 83298 95938 124947 143907 249894 287814 374841 431721 749682 863442 1124523 1295163 1429949 2249046 2590326 2859898 3885489 4289847 4940807 7770978 8579694 9881614 12869541 14822421 25739082 29644842 38608623 44467263 77217246 88934526 115825869 133401789 231651738 266803578 400205367 665953627 800410734 1331907254 1997860881 3995721762 5993582643 11987165286 17980747929 35961495858 53942243787 68593223581 107884487574 137186447162 205779670743 411559341486 617339012229 1234678024458 1852017036687 3704034073374 5556051110061 11112102220122