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1111300114032 = 243222733997189
BaseRepresentation
bin10000001010111110101…
…001100000011001110000
310221020110102020001000200
4100022332221200121300
5121201420312122112
62210305122115200
7143201024053263
oct20127651403160
93836412201020
101111300114032
11399332a40a09
1215b4641abb00
1380a44c40594
143bb0417acda
151dd92a72cdc
hex102bea60670

1111300114032 has 60 divisors (see below), whose sum is σ = 3123797805960. Its totient is φ = 368801495424.

The previous prime is 1111300114007. The next prime is 1111300114037. The reversal of 1111300114032 is 2304110031111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111300113996 and 1111300114014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111300114037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16965907 + ... + 17031282.

It is an arithmetic number, because the mean of its divisors is an integer number (52063296766).

Almost surely, 21111300114032 is an apocalyptic number.

1111300114032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111300114032 is an abundant number, since it is smaller than the sum of its proper divisors (2012497691928).

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

1111300114032 is a wasteful number, since it uses less digits than its factorization.

1111300114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33997430 (or 33997421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1111300114032 its reverse (2304110031111), we get a palindrome (3415410145143).

The spelling of 1111300114032 in words is "one trillion, one hundred eleven billion, three hundred million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1816 2043 2724 3632 4086 5448 8172 10896 16344 32688 33997189 67994378 101991567 135988756 203983134 271977512 305974701 407966268 543955024 611949402 815932536 1223898804 1631865072 2447797608 4895595216 7717361903 15434723806 23152085709 30869447612 46304171418 61738895224 69456257127 92608342836 123477790448 138912514254 185216685672 277825028508 370433371344 555650057016 1111300114032