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11003321141124 = 223131712133420499
BaseRepresentation
bin1010000000011110100100…
…0011000100011110000100
31102221220111100222010110020
42200013221003010132010
52420234300203003444
635222504515055140
72213651361336444
oct240075103043604
942856440863406
1011003321141124
113562533a23444
121298625ba14b0
1361a7bb4c9010
142a07c6696124
1514134d036119
hexa01e90c4784

11003321141124 has 96 divisors (see below), whose sum is σ = 29299948272000. Its totient is φ = 3183854266368.

The previous prime is 11003321141117. The next prime is 11003321141159. The reversal of 11003321141124 is 42114112330011.

It is a super-2 number, since 2×110033211411242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11003321141094 and 11003321141103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506627 + ... + 4927125.

It is an arithmetic number, because the mean of its divisors is an integer number (305207794500).

Almost surely, 211003321141124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003321141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649974136000).

11003321141124 is an abundant number, since it is smaller than the sum of its proper divisors (18296627130876).

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

11003321141124 is a wasteful number, since it uses less digits than its factorization.

11003321141124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421749 (or 3421747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11003321141124 its reverse (42114112330011), we get a palindrome (53117433471135).

The spelling of 11003321141124 in words is "eleven trillion, three billion, three hundred twenty-one million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1213 1326 2426 2652 3639 4852 7278 14556 15769 20621 31538 41242 47307 61863 63076 82484 94614 123726 189228 247452 268073 536146 804219 1072292 1608438 3216876 3420499 6840998 10261497 13681996 20522994 41045988 44466487 58148483 88932974 116296966 133399461 174445449 177865948 232593932 266798922 348890898 533597844 697781796 755930279 1511860558 2267790837 3023721116 4149065287 4535581674 8298130574 9071163348 12447195861 16596261148 24894391722 49788783444 53937848731 70534109879 107875697462 141068219758 161813546193 211602329637 215751394924 282136439516 323627092386 423204659274 647254184772 846409318548 916943428427 1833886856854 2750830285281 3667773713708 5501660570562 11003321141124