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110110131019 = 7237290320921
BaseRepresentation
bin110011010001100010…
…0110100001101001011
3101112012202122012201201
41212203010310031023
53301001143143034
6122330042125031
710645426446100
oct1464304641513
9345182565651
10110110131019
1142774331189
121940b7b0777
13a4ca279aa5
145487a90aa7
152ce6aee014
hex19a313434b

110110131019 has 24 divisors (see below), whose sum is σ = 131600719008. Its totient is φ = 91793278080.

The previous prime is 110110130971. The next prime is 110110131049. The reversal of 110110131019 is 910131011011.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-110110131019 is a prime.

It is a super-2 number, since 2×1101101310192 (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 = 110110130987 and 110110131005.

It is not an unprimeable number, because it can be changed into a prime (110110131049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5252679 + ... + 5273599.

It is an arithmetic number, because the mean of its divisors is an integer number (5483363292).

Almost surely, 2110110131019 is an apocalyptic number.

110110131019 is a deficient number, since it is larger than the sum of its proper divisors (21490587989).

110110131019 is a wasteful number, since it uses less digits than its factorization.

110110131019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23875 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 110110131019 in words is "one hundred ten billion, one hundred ten million, one hundred thirty-one thousand, nineteen".

Divisors: 1 7 37 49 259 1813 2903 20321 20921 107411 142247 146447 751877 774077 1025129 5263139 5418539 37929773 60733663 425135641 2247145531 2975949487 15730018717 110110131019