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110122100019 = 3419331921559
BaseRepresentation
bin110011010001111001…
…0011110010100110011
3101112020121011022010000
41212203302132110303
53301012224200034
6122331150441043
710645633256121
oct1464362362463
9345217138100
10110122100019
1142780066718
1219413803183
13a4cc8aa939
1454894c8911
152ce7bb5599
hex19a3c9e533

110122100019 has 40 divisors (see below), whose sum is σ = 173221664000. Its totient is φ = 69526619568.

The previous prime is 110122100009. The next prime is 110122100041. The reversal of 110122100019 is 910001221011.

It is a happy number.

It is not a de Polignac number, because 110122100019 - 27 = 110122099891 is a prime.

It is a super-2 number, since 2×1101221000192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110122099974 and 110122100010.

It is not an unprimeable number, because it can be changed into a prime (110122100009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5097162 + ... + 5118720.

It is an arithmetic number, because the mean of its divisors is an integer number (4330541600).

Almost surely, 2110122100019 is an apocalyptic number.

110122100019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

110122100019 is a deficient number, since it is larger than the sum of its proper divisors (63099563981).

110122100019 is a wasteful number, since it uses less digits than its factorization.

110122100019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24909 (or 24900 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 110122100019 in words is "one hundred ten billion, one hundred twenty-two million, one hundred thousand, nineteen".

Divisors: 1 3 9 19 27 57 81 171 513 1539 3319 9957 21559 29871 63061 64677 89613 189183 194031 268839 409621 567549 582093 1228863 1702647 1746279 3686589 5107941 11059767 33179301 71554321 214662963 643988889 1359532099 1931966667 4078596297 5795900001 12235788891 36707366673 110122100019