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110110100009 = 7137118479227
BaseRepresentation
bin110011010001100010…
…0101100101000101001
3101112012202120122012012
41212203010230220221
53301001141200014
6122330041325305
710645426256510
oct1464304545051
9345182518165
10110110100009
114277430a958
121940b796835
13a4ca268940
145487a83677
152ce6ae4c3e
hex19a312ca29

110110100009 has 32 divisors (see below), whose sum is σ = 137518166016. Its totient is φ = 85837227840.

The previous prime is 110110099997. The next prime is 110110100039. The reversal of 110110100009 is 900001011011.

It is a happy number.

It is not a de Polignac number, because 110110100009 - 28 = 110110099753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110099966 and 110110100002.

It is not an unprimeable number, because it can be changed into a prime (110110100039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11928854 + ... + 11938080.

It is an arithmetic number, because the mean of its divisors is an integer number (4297442688).

Almost surely, 2110110100009 is an apocalyptic number.

It is an amenable number.

110110100009 is a deficient number, since it is larger than the sum of its proper divisors (27408066007).

110110100009 is a wasteful number, since it uses less digits than its factorization.

110110100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 110110100009 in words is "one hundred ten billion, one hundred ten million, one hundred thousand, nine".

Divisors: 1 7 13 71 91 497 923 1847 6461 9227 12929 24011 64589 119951 131137 168077 655117 839657 917959 1704781 4585819 8516521 11933467 17042269 59615647 119295883 221549497 1210001099 1550846479 8470007693 15730014287 110110100009