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111441400141100 = 225216746114475353
BaseRepresentation
bin11001010101101011111001…
…000100011001010100101100
3112121120200201210012122121012
4121111223321010121110230
5104101323441414003400
61033003250015124352
732321242532541461
oct3125537104312454
9477520653178535
10111441400141100
113256603a121227
12105ba10b5136b8
134a24b57058633
141d73b14a65668
15cd3ca722ad35
hex655af911952c

111441400141100 has 72 divisors (see below), whose sum is σ = 243803639505888. Its totient is φ = 44213515148800.

The previous prime is 111441400141073. The next prime is 111441400141103. The reversal of 111441400141100 is 1141004144111.

It is not an unprimeable number, because it can be changed into a prime (111441400141103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461024 + ... + 14936376.

It is an arithmetic number, because the mean of its divisors is an integer number (3386161659804).

Almost surely, 2111441400141100 is an apocalyptic number.

111441400141100 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 111441400141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121901819752944).

111441400141100 is an abundant number, since it is smaller than the sum of its proper divisors (132362239364788).

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

111441400141100 is a wasteful number, since it uses less digits than its factorization.

111441400141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475995 (or 14475988 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 111441400141100 its reverse (1141004144111), we get a palindrome (112582404285211).

The spelling of 111441400141100 in words is "one hundred eleven trillion, four hundred forty-one billion, four hundred million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 461 668 835 922 1670 1844 2305 3340 4175 4610 8350 9220 11525 16700 23050 46100 76987 153974 307948 384935 769870 1539740 1924675 3849350 7698700 14475353 28950706 57901412 72376765 144753530 289507060 361883825 723767650 1447535300 2417383951 4834767902 6673137733 9669535804 12086919755 13346275466 24173839510 26692550932 33365688665 48347679020 60434598775 66731377330 120869197550 133462754660 166828443325 241738395100 333656886650 667313773300 1114414001411 2228828002822 4457656005644 5572070007055 11144140014110 22288280028220 27860350035275 55720700070550 111441400141100