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12010110111318 = 2311233152395561
BaseRepresentation
bin1010111011000101001001…
…0110001100111001010110
31120112011012020000222020210
42232301102112030321112
53033233201142030233
641313211324510250
72346462503361504
oct256612226147126
946464166028223
1012010110111318
113910506067100
12141b7816ab386
13691719150c87
142d7414605674
1515c6257ce163
hexaec5258ce56

12010110111318 has 96 divisors (see below), whose sum is σ = 26533069105536. Its totient is φ = 3621456432000.

The previous prime is 12010110111317. The next prime is 12010110111331. The reversal of 12010110111318 is 81311101101021.

12010110111318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12010110111294 and 12010110111303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010110111317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125632258 + ... + 125727818.

It is an arithmetic number, because the mean of its divisors is an integer number (276386136516).

Almost surely, 212010110111318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010110111318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266534552768).

12010110111318 is an abundant number, since it is smaller than the sum of its proper divisors (14522958994218).

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

12010110111318 is a wasteful number, since it uses less digits than its factorization.

12010110111318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96442 (or 96431 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 21.

Adding to 12010110111318 its reverse (81311101101021), we get a palindrome (93321211212339).

The spelling of 12010110111318 in words is "twelve trillion, ten billion, one hundred ten million, one hundred eleven thousand, three hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 331 363 523 662 726 993 1046 1569 1986 3138 3641 5753 7282 10923 11506 17259 21846 34518 40051 63283 80102 95561 120153 126566 173113 189849 191122 240306 286683 346226 379698 519339 573366 1038678 1051171 1904243 2102342 3153513 3808486 5712729 6307026 11425458 11562881 20946673 23125762 31630691 34688643 41893346 49978403 62840019 63261382 69377286 94892073 99956806 125680038 149935209 189784146 299870418 347937601 549762433 695875202 1043812803 1099524866 1649287299 2087625606 3298574598 3827313611 6047386763 7654627222 11481940833 12094773526 16542851393 18142160289 22963881666 33085702786 36284320578 49628554179 99257108358 181971365323 363942730646 545914095969 1091828191938 2001685018553 4003370037106 6005055055659 12010110111318