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11121717066102 = 23229671979160687
BaseRepresentation
bin1010000111010111100111…
…1111101011100101110110
31110101020002120210021200200
42201311321333223211312
52424204234032103402
635353125110421330
72225342342160336
oct241657177534566
943336076707620
1011121717066102
1135a876a383225
1212b7568661846
13628a09281866
142a64189670c6
1514447c28521c
hexa1d79feb976

11121717066102 has 96 divisors (see below), whose sum is σ = 25312987814400. Its totient is φ = 3524175635904.

The previous prime is 11121717066071. The next prime is 11121717066127. The reversal of 11121717066102 is 20166071712111.

11121717066102 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 7 + 17 + 0 + 6 + 610 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69133203 + ... + 69293889.

It is an arithmetic number, because the mean of its divisors is an integer number (263676956400).

Almost surely, 211121717066102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121717066102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656493907200).

11121717066102 is an abundant number, since it is smaller than the sum of its proper divisors (14191270748298).

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

11121717066102 is a wasteful number, since it uses less digits than its factorization.

11121717066102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162770 (or 162767 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Adding to 11121717066102 its reverse (20166071712111), we get a palindrome (31287788778213).

The spelling of 11121717066102 in words is "eleven trillion, one hundred twenty-one billion, seven hundred seventeen million, sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 67 87 134 174 201 261 402 522 603 1206 1943 1979 3886 3958 5829 5937 11658 11874 17487 17811 34974 35622 57391 114782 132593 160687 172173 265186 321374 344346 397779 482061 516519 795558 964122 1033038 1193337 1446183 2386674 2892366 3845197 4659923 7690394 9319846 10766029 11535591 13979769 21532058 23071182 27959538 32298087 34606773 41939307 64596174 69213546 83878614 96894261 193788522 312214841 317999573 624429682 635999146 936644523 953998719 1873289046 1907997438 2809933569 2861996157 5619867138 5723992314 9221987617 18443975234 21305971391 27665962851 42611942782 55331925702 63917914173 82997888553 127835828346 165995777106 191753742519 383507485038 617873170339 1235746340678 1853619511017 3707239022034 5560858533051 11121717066102