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11000022201102 = 23113110191957923
BaseRepresentation
bin1010000000010010010001…
…1010100111001100001110
31102221120222110102121111110
42200010210122213030032
52420211021140413402
635221201311232450
72213503542660504
oct240044432471416
942846873377443
1011000022201102
1135610a0842a30
121297a65218726
1361a3b3bc82bc
142a05924b4674
151412085e256c
hexa01246a730e

11000022201102 has 128 divisors (see below), whose sum is σ = 25047190241280. Its totient is φ = 3190343760000.

The previous prime is 11000022201089. The next prime is 11000022201139. The reversal of 11000022201102 is 20110222000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189878713 + ... + 189936635.

It is an arithmetic number, because the mean of its divisors is an integer number (195681173760).

Almost surely, 211000022201102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000022201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523595120640).

11000022201102 is an abundant number, since it is smaller than the sum of its proper divisors (14047168040178).

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

11000022201102 is a wasteful number, since it uses less digits than its factorization.

11000022201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58990.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000022201102 its reverse (20110222000011), we get a palindrome (31110244201113).

The spelling of 11000022201102 in words is "eleven trillion, twenty-two million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 303 341 606 682 919 1023 1111 1838 2046 2222 2757 3131 3333 5514 6262 6666 9393 10109 18786 20218 28489 30327 34441 56978 57923 60654 68882 85467 92819 103323 115846 170934 173769 185638 206646 278457 313379 347538 556914 626758 637153 940137 1021009 1274306 1795613 1880274 1911459 2042018 2877389 3063027 3591226 3822918 5386839 5754778 5850223 6126054 8632167 10773678 11700446 17264334 17550669 19751743 31651279 35101338 39503486 53231237 59255229 63302558 64352453 94953837 106462474 118510458 128704906 159693711 181356913 189907674 193057359 319387422 362713826 386114718 544070739 585543607 1088141478 1171087214 1650168347 1756630821 1994926043 3300336694 3513261642 3989852086 4950505041 5376354937 5984778129 9901010082 10752709874 11969556258 16129064811 18151851817 32258129622 36303703634 54455555451 59139904307 108911110902 118279808614 166667003047 177419712921 333334006094 354839425842 500001009141 1000002018282 1833337033517 3666674067034 5500011100551 11000022201102