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11131322111320 = 2351373676139029
BaseRepresentation
bin1010000111111011011010…
…0000000001010101011000
31110102010212222101010201011
42201332312200001111120
52424333421430030240
635401354144103304
72226132352542535
oct241766640012530
943363788333634
1011131322111320
113601849158924
1212b93a9304b34
136298aa1a5c78
142a6a8a479d8c
151448406296ea
hexa1fb6801558

11131322111320 has 128 divisors (see below), whose sum is σ = 25341104275200. Its totient is φ = 4400306712576.

The previous prime is 11131322111309. The next prime is 11131322111333. The reversal of 11131322111320 is 2311122313111.

It is a junction number, because it is equal to n+sod(n) for n = 11131322111291 and 11131322111300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232836566 + ... + 1232845594.

It is an arithmetic number, because the mean of its divisors is an integer number (197977377150).

Almost surely, 211131322111320 is an apocalyptic number.

11131322111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131322111320 is an abundant number, since it is smaller than the sum of its proper divisors (14209782163880).

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

11131322111320 is a wasteful number, since it uses less digits than its factorization.

11131322111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11131322111320 its reverse (2311122313111), we get a palindrome (13442444424431).

The spelling of 11131322111320 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 367 548 613 685 734 1096 1226 1370 1468 1835 2452 2740 2936 3065 3670 4904 5480 6130 7340 9029 12260 14680 18058 24520 36116 45145 50279 72232 83981 90290 100558 167962 180580 201116 224971 251395 335924 361160 402232 419905 449942 502790 671848 839810 899884 1005580 1124855 1236973 1679620 1799768 2011160 2249710 2473946 3313643 3359240 4499420 4947892 5534777 6184865 6627286 8998840 9895784 11069554 12369730 13254572 16568215 22139108 24739460 26509144 27673885 30821027 33136430 44278216 49478920 55347770 61642054 66272860 110695540 123284108 132545720 154105135 221391080 246568216 308210270 453969091 616420540 758264449 907938182 1232841080 1516528898 1815876364 2031263159 2269845455 3033057796 3631752728 3791322245 4062526318 4539690910 6066115592 7582644490 8125052636 9079381820 10156315795 15165288980 16250105272 18158763640 20312631590 30330577960 40625263180 81250526360 278283052783 556566105566 1113132211132 1391415263915 2226264422264 2782830527830 5565661055660 11131322111320