Search a number
-
+
11331122001114 = 2329534679772693
BaseRepresentation
bin1010010011100011101110…
…0000000111010011011010
31111010020121101010011121110
42210320323200013103122
52441122114213013424
640033240125121150
72246434523563056
oct244707340072332
944106541104543
1011331122001114
113679557a71293
1213300699b91b6
1364269bbcc926
142b2601b4ac66
15149b36221c29
hexa4e3b8074da

11331122001114 has 128 divisors (see below), whose sum is σ = 23970580957440. Its totient is φ = 3565349924864.

The previous prime is 11331122001071. The next prime is 11331122001137. The reversal of 11331122001114 is 41110022113311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4207619152 + ... + 4207621844.

It is an arithmetic number, because the mean of its divisors is an integer number (187270163730).

Almost surely, 211331122001114 is an apocalyptic number.

11331122001114 is an abundant number, since it is smaller than the sum of its proper divisors (12639458956326).

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

11331122001114 is a wasteful number, since it uses less digits than its factorization.

11331122001114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11331122001114 its reverse (41110022113311), we get a palindrome (52441144114425).

The spelling of 11331122001114 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one thousand, one hundred fourteen".

Divisors: 1 2 3 6 29 53 58 87 106 159 174 318 467 934 977 1401 1537 1954 2693 2802 2931 3074 4611 5386 5862 8079 9222 13543 16158 24751 27086 28333 40629 49502 51781 56666 74253 78097 81258 84999 103562 142729 148506 155343 156194 169998 234291 285458 310686 428187 456259 468582 717779 856374 912518 1257631 1368777 1435558 1501649 2153337 2515262 2631061 2737554 3003298 3772893 4139141 4306674 4504947 5262122 7545786 7893183 8278282 9009894 12417423 13231511 15786366 24181727 24834846 26463022 36471299 39694533 48363454 66654443 72545181 72942598 76300769 79389066 109413897 133308886 139446233 145090362 152601538 199963329 218827794 228902307 278892466 399926658 418338699 457804614 701270083 836677398 1228705487 1402540166 1932978847 2103810249 2457410974 3686116461 3865957694 4043940757 4207620498 5798936541 7372232922 8087881514 11597873082 12131822271 24263644542 35632459123 65121390811 71264918246 106897377369 130242781622 195364172433 213794754738 390728344866 1888520333519 3777040667038 5665561000557 11331122001114