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111116360216340 = 2232543591012409149
BaseRepresentation
bin11001010000111101001011…
…001011011110111100010100
3112120102121202012020122120100
4121100331023023132330110
5104031012301203410330
61032154052353334100
732255614664012043
oct3120751313367424
9476377665218510
10111116360216340
11324502025a9936
1210567118267330
134a002c6654ccb
141d620bc14655a
15cca5d1610060
hex650f4b2def14

111116360216340 has 288 divisors, whose sum is σ = 354209807952000. Its totient is φ = 28169685734400.

The previous prime is 111116360216327. The next prime is 111116360216341. The reversal of 111116360216340 is 43612063611111.

111116360216340 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 6 + 3 + 602 + 1 + 6 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111116360216295 and 111116360216304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111116360216341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44918086 + ... + 47327234.

It is an arithmetic number, because the mean of its divisors is an integer number (1229895166500).

Almost surely, 2111116360216340 is an apocalyptic number.

111116360216340 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 111116360216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177104903976000).

111116360216340 is an abundant number, since it is smaller than the sum of its proper divisors (243093447735660).

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

111116360216340 is a wasteful number, since it uses less digits than its factorization.

111116360216340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409367 (or 2409362 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 111116360216340 in words is "one hundred eleven trillion, one hundred sixteen billion, three hundred sixty million, two hundred sixteen thousand, three hundred forty".