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11320111310016 = 263474231296489
BaseRepresentation
bin1010010010111010101100…
…1101101010010011000000
31111002012012000120002221110
42210232223031222103000
52440432041443410031
640024215355523320
72245564624341615
oct244565315522300
944065160502843
1011320111310016
1136749177a1083
121329ab6459540
13641635a00cb2
142b1c7969650c
151496de76ec46
hexa4bab36a4c0

11320111310016 has 112 divisors (see below), whose sum is σ = 30595718661120. Its totient is φ = 3692200642560.

The previous prime is 11320111309987. The next prime is 11320111310017. The reversal of 11320111310016 is 61001311102311.

It is a junction number, because it is equal to n+sod(n) for n = 11320111309974 and 11320111310001.

It is not an unprimeable number, because it can be changed into a prime (11320111310017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38032300 + ... + 38328788.

Almost surely, 211320111310016 is an apocalyptic number.

11320111310016 is a gapful number since it is divisible by the number (16) 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 11320111310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297859330560).

11320111310016 is an abundant number, since it is smaller than the sum of its proper divisors (19275607351104).

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

11320111310016 is a wasteful number, since it uses less digits than its factorization.

11320111310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300782 (or 300772 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11320111310016 its reverse (61001311102311), we get a palindrome (72321422412327).

The spelling of 11320111310016 in words is "eleven trillion, three hundred twenty billion, one hundred eleven million, three hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4231 4512 8462 9024 12693 16924 25386 33848 50772 67696 101544 135392 198857 203088 270784 296489 397714 406176 592978 596571 795428 812352 889467 1185956 1193142 1590856 1778934 2371912 2386284 3181712 3557868 4743824 4772568 6363424 7115736 9487648 9545136 12726848 13934983 14231472 18975296 19090272 27869966 28462944 38180544 41804949 55739932 56925888 83609898 111479864 167219796 222959728 334439592 445919456 668879184 891838912 1254444959 1337758368 2508889918 2675516736 3763334877 5017779836 7526669754 10035559672 15053339508 20071119344 30106679016 40142238688 58958913073 60213358032 80284477376 117917826146 120426716064 176876739219 235835652292 240853432128 353753478438 471671304584 707506956876 943342609168 1415013913752 1886685218336 2830027827504 3773370436672 5660055655008 11320111310016