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110001009979 = 73192888373
BaseRepresentation
bin110011001110010010…
…0100011010100111011
3101111221011022021210201
41212130210203110323
53300240224304404
6122311143223031
710642633105000
oct1463444432473
9344834267721
10110001009979
114271877aa03
121939b147a77
13a4b0791823
1454773a78a7
152cdc246ca4
hex199c92353b

110001009979 has 24 divisors (see below), whose sum is σ = 135388197600. Its totient is φ = 89324027856.

The previous prime is 110001009977. The next prime is 110001010019. The reversal of 110001009979 is 979900100011.

It is not a de Polignac number, because 110001009979 - 21 = 110001009977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001009977) 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 23 ways as a sum of consecutive naturals, for example, 320364 + ... + 568009.

It is an arithmetic number, because the mean of its divisors is an integer number (5641174900).

Almost surely, 2110001009979 is an apocalyptic number.

110001009979 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

110001009979 is a deficient number, since it is larger than the sum of its proper divisors (25387187621).

110001009979 is an frugal number, since it uses more digits than its factorization.

110001009979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888432 (or 888399 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 37.

The spelling of 110001009979 in words is "one hundred ten billion, one million, nine thousand, nine hundred seventy-nine".

Divisors: 1 7 19 49 133 343 361 931 2527 6517 17689 123823 888373 6218611 16879087 43530277 118153609 304711939 320702653 827075263 2244918571 5789526841 15714429997 110001009979