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111314312111240 = 23572988631546729
BaseRepresentation
bin11001010011110101100010…
…000010000010010010001000
3112121010112200210122211001022
4121103311202002002102020
5104042233202400024430
61032425031121412012
732306123265241130
oct3123654202022210
9477115623584038
10111314312111240
1132517153257397
1210599561a9a008
134a15b82556074
141d6b8da209ac0
15cd0819d6d4e5
hex653d62082488

111314312111240 has 128 divisors (see below), whose sum is σ = 296140637952000. Its totient is φ = 36844694304768.

The previous prime is 111314312111227. The next prime is 111314312111263. The reversal of 111314312111240 is 42111213413111.

It is a super-2 number, since 2×1113143121112402 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 71194196 + ... + 72740924.

It is an arithmetic number, because the mean of its divisors is an integer number (2313598734000).

Almost surely, 2111314312111240 is an apocalyptic number.

111314312111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111314312111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070318976000).

111314312111240 is an abundant number, since it is smaller than the sum of its proper divisors (184826325840760).

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

111314312111240 is a wasteful number, since it uses less digits than its factorization.

111314312111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555639 (or 1555635 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 111314312111240 its reverse (42111213413111), we get a palindrome (153425525524351).

The spelling of 111314312111240 in words is "one hundred eleven trillion, three hundred fourteen billion, three hundred twelve million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 8863 17726 35452 44315 62041 70904 88630 124082 177260 248164 257027 310205 354520 496328 514054 620410 1028108 1240820 1285135 1546729 1799189 2056216 2481640 2570270 3093458 3598378 5140540 6186916 7196756 7733645 8995945 10281080 10827103 12373832 14393512 15467290 17991890 21654206 30934580 35983780 43308412 44855141 54135515 61869160 71967560 86616824 89710282 108271030 179420564 216542060 224275705 313985987 358841128 433084120 448551410 627971974 897102820 1255943948 1569929935 1794205640 2511887896 3139859870 6279719740 12559439480 13708659127 27417318254 54834636508 68543295635 95960613889 109669273016 137086591270 191921227778 274173182540 383842455556 397551114683 479803069445 548346365080 767684911112 795102229366 959606138890 1590204458732 1919212277780 1987755573415 2782857802781 3180408917464 3838424555560 3975511146830 5565715605562 7951022293660 11131431211124 13914289013905 15902044587320 22262862422248 27828578027810 55657156055620 111314312111240