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1110011321133 = 3211132146740177
BaseRepresentation
bin10000001001110001110…
…101001001101100101101
310221010010121010120112100
4100021301311021230231
5121141300344234013
62205533202525313
7143124054360501
oct20116165115455
93833117116470
101110011321133
113988314a8810
1215b164666839
138089ac2a730
143ba20d36301
151dd19848473
hex10271d49b2d

1110011321133 has 48 divisors (see below), whose sum is σ = 1883790207936. Its totient is φ = 620940971520.

The previous prime is 1110011321059. The next prime is 1110011321171. The reversal of 1110011321133 is 3311231100111.

It is not a de Polignac number, because 1110011321133 - 213 = 1110011312941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110011321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27607941 + ... + 27648117.

It is an arithmetic number, because the mean of its divisors is an integer number (39245629332).

Almost surely, 21110011321133 is an apocalyptic number.

1110011321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1110011321133 is a deficient number, since it is larger than the sum of its proper divisors (773778886803).

1110011321133 is a wasteful number, since it uses less digits than its factorization.

1110011321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61674 (or 61671 counting only the distinct ones).

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

Adding to 1110011321133 its reverse (3311231100111), we get a palindrome (4421242421244).

The spelling of 1110011321133 in words is "one trillion, one hundred ten billion, eleven million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 21467 40177 64401 120531 193203 236137 279071 361593 441947 522301 708411 837213 1325841 1566903 2125233 2511639 3069781 3977523 4700709 5745311 9209343 17235933 27628029 51707799 862479659 2587438977 7762316931 9487276249 11212235567 28461828747 33636706701 85385486241 100910120103 123334591237 370003773711 1110011321133