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123110322101 = 13171134929737
BaseRepresentation
bin111001010100111110…
…0100110111110110101
3102202202202210100022022
41302221330212332311
54004112220301401
6132320041242525
711615534320604
oct1625174467665
9382682710268
10123110322101
1148235627158
121ba39493445
13b7bc6b7750
145d5c469a3b
15330808c71b
hex1ca9f26fb5

123110322101 has 16 divisors (see below), whose sum is σ = 141621513264. Its totient is φ = 106009042944.

The previous prime is 123110322089. The next prime is 123110322157. The reversal of 123110322101 is 101223011321.

It can be written as a sum of positive squares in 8 ways, for example, as 28633201 + 123081688900 = 5351^2 + 350830^2 .

It is a cyclic number.

It is not a de Polignac number, because 123110322101 - 218 = 123110059957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123110322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123110322161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439896 + ... + 2489841.

It is an arithmetic number, because the mean of its divisors is an integer number (8851344579).

Almost surely, 2123110322101 is an apocalyptic number.

It is an amenable number.

123110322101 is a deficient number, since it is larger than the sum of its proper divisors (18511191163).

123110322101 is a wasteful number, since it uses less digits than its factorization.

123110322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929880.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 123110322101 its reverse (101223011321), we get a palindrome (224333333422).

The spelling of 123110322101 in words is "one hundred twenty-three billion, one hundred ten million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 13 17 113 221 1469 1921 24973 4929737 64086581 83805529 557060281 1089471877 7241783653 9470024777 123110322101