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110001010119 = 37111322817721
BaseRepresentation
bin110011001110010010…
…0100011010111000111
3101111221011022021222220
41212130210203113013
53300240224310434
6122311143223423
710642633105260
oct1463444432707
9344834267886
10110001010119
1142718780020
121939b147b73
13a4b0791900
1454773a7967
152cdc246d49
hex199c9235c7

110001010119 has 48 divisors (see below), whose sum is σ = 198006960384. Its totient is φ = 52747718400.

The previous prime is 110001010117. The next prime is 110001010123. The reversal of 110001010119 is 911010100011.

It is not a de Polignac number, because 110001010119 - 21 = 110001010117 is a prime.

It is a super-2 number, since 2×1100010101192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110001010098 and 110001010107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001010117) 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, 1369822 + ... + 1447899.

It is an arithmetic number, because the mean of its divisors is an integer number (4125145008).

Almost surely, 2110001010119 is an apocalyptic number.

110001010119 is a deficient number, since it is larger than the sum of its proper divisors (88005950265).

110001010119 is a wasteful number, since it uses less digits than its factorization.

110001010119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817768 (or 2817755 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 110001010119 in words is "one hundred ten billion, one million, ten thousand, one hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 2817721 8453163 19724047 30994931 36630373 59172141 92984793 109891119 216964517 256412611 402934103 476194849 650893551 769237833 1208802309 1428584547 2820538721 3333363943 5238143339 8461616163 10000091829 15714430017 36667003373 110001010119