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11331130100112 = 2432411919229353
BaseRepresentation
bin1010010011100011101111…
…1111000000100110010000
31111010020121221100122100100
42210320323333000212100
52441122123301200422
640033241014452400
72246434652454234
oct244707377004620
944106557318310
1011331130100112
1136795615a3179
121330070664100
136426a07a7134
142b2602c585c4
15149b36cc17ac
hexa4e3bfc0990

11331130100112 has 60 divisors (see below), whose sum is σ = 32484876045804. Its totient is φ = 3684920355840.

The previous prime is 11331130100111. The next prime is 11331130100117. The reversal of 11331130100112 is 21100103113311.

11331130100112 is a `hidden beast` number, since 113 + 311 + 30 + 100 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4477185156096 + 6853944944016 = 2115936^2 + 2618004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11331130100111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959608773 + ... + 959620580.

Almost surely, 211331130100112 is an apocalyptic number.

11331130100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331130100112 is an abundant number, since it is smaller than the sum of its proper divisors (21153745945692).

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

11331130100112 is a wasteful number, since it uses less digits than its factorization.

11331130100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919229408 (or 1919229399 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331130100112 its reverse (21100103113311), we get a palindrome (32431233213423).

The spelling of 11331130100112 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 1919229353 3838458706 5757688059 7676917412 11515376118 15353834824 17273064177 23030752236 30707669648 34546128354 46061504472 69092256708 78688403473 92123008944 138184513416 157376806946 236065210419 276369026832 314753613892 472130420838 629507227784 708195631257 944260841676 1259014455568 1416391262514 1888521683352 2832782525028 3777043366704 5665565050056 11331130100112