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11331122033112 = 2337197149997891
BaseRepresentation
bin1010010011100011101110…
…0000001111000111011000
31111010020121101011210111120
42210320323200033013120
52441122114220024422
640033240125525240
72246434524055260
oct244707340170730
944106541153446
1011331122033112
113679557a93332
121330069a13820
1364269bc1136b
142b2601b587a0
15149b3622b45c
hexa4e3b80f1d8

11331122033112 has 128 divisors (see below), whose sum is σ = 34558542950400. Its totient is φ = 3023872387200.

The previous prime is 11331122033089. The next prime is 11331122033129. The reversal of 11331122033112 is 21133022113311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 24772314 + ... + 25225577.

It is an arithmetic number, because the mean of its divisors is an integer number (269988616800).

Almost surely, 211331122033112 is an apocalyptic number.

11331122033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331122033112 is an abundant number, since it is smaller than the sum of its proper divisors (23227420917288).

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

11331122033112 is a wasteful number, since it uses less digits than its factorization.

11331122033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49997997 (or 49997993 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331122033112 its reverse (21133022113311), we get a palindrome (32464144146423).

The spelling of 11331122033112 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 532 568 798 852 994 1064 1349 1491 1596 1704 1988 2698 2982 3192 3976 4047 5396 5964 8094 9443 10792 11928 16188 18886 28329 32376 37772 56658 75544 113316 226632 49997891 99995782 149993673 199991564 299987346 349985237 399983128 599974692 699970474 949959929 1049955711 1199949384 1399940948 1899919858 2099911422 2799881896 2849879787 3549850261 3799839716 4199822844 5699759574 6649719503 7099700522 7599679432 8399645688 10649550783 11399519148 13299439006 14199401044 19949158509 21299101566 22799038296 24848951827 26598878012 28398802088 39898317018 42598203132 49697903654 53197756024 67447154959 74546855481 79796634036 85196406264 99395807308 134894309918 149093710962 159593268072 198791614616 202341464877 269788619836 298187421924 404682929754 472130084713 539577239672 596374843848 809365859508 944260169426 1416390254139 1618731719016 1888520338852 2832780508278 3777040677704 5665561016556 11331122033112