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111331311320 = 23537197421907
BaseRepresentation
bin110011110101111011…
…1001111111011011000
3101122100212111121011202
41213223313033323120
53311001303430240
6123051144213332
711020615350365
oct1475367177330
9348325447152
10111331311320
1143240693aa9
12196b076a248
13a663278998
145561d3546c
152d68e20315
hex19ebdcfed8

111331311320 has 128 divisors (see below), whose sum is σ = 259471460160. Its totient is φ = 42959185920.

The previous prime is 111331311277. The next prime is 111331311347. The reversal of 111331311320 is 23113133111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111331311292 and 111331311301.

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, 122746307 + ... + 122747213.

Almost surely, 2111331311320 is an apocalyptic number.

111331311320 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 111331311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129735730080).

111331311320 is an abundant number, since it is smaller than the sum of its proper divisors (148140148840).

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

111331311320 is a wasteful number, since it uses less digits than its factorization.

111331311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 111331311320 its reverse (23113133111), we get a palindrome (134444444431).

The spelling of 111331311320 in words is "one hundred eleven billion, three hundred thirty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 197 296 370 394 421 740 788 842 907 985 1480 1576 1684 1814 1970 2105 3368 3628 3940 4210 4535 7256 7289 7880 8420 9070 14578 15577 16840 18140 29156 31154 33559 36280 36445 58312 62308 67118 72890 77885 82937 124616 134236 145780 155770 165874 167795 178679 268472 291560 311540 331748 335590 357358 381847 414685 623080 663496 671180 714716 763694 829370 893395 1342360 1429432 1527388 1658740 1786790 1909235 3054776 3068669 3317480 3573580 3818470 6137338 6611123 7147160 7636940 12274676 13222246 14128339 15273880 15343345 24549352 26444492 28256678 30686690 33055615 52888984 56513356 61373380 66111230 70641695 75223859 113026712 122746760 132222460 141283390 150447718 264444920 282566780 300895436 376119295 565133560 601790872 752238590 1504477180 2783282783 3008954360 5566565566 11133131132 13916413915 22266262264 27832827830 55665655660 111331311320