Search a number
-
+
123100211101 = 7194321524779
BaseRepresentation
bin111001010100101011…
…0000010011110011101
3102202202001202122121211
41302221112002132131
54004102123223401
6132315040424421
711615352346510
oct1625126023635
9382661678554
10123100211101
114822a95065a
121ba36018111
13b7ba5874ca
145d5ad96d77
153307241951
hex1ca958279d

123100211101 has 16 divisors (see below), whose sum is σ = 151534451200. Its totient is φ = 97636393008.

The previous prime is 123100211089. The next prime is 123100211111. The reversal of 123100211101 is 101112001321.

It is a happy number.

It is not a de Polignac number, because 123100211101 - 29 = 123100210589 is a prime.

It is a super-2 number, since 2×1231002111012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123100211111) 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 15 ways as a sum of consecutive naturals, for example, 10756671 + ... + 10768108.

It is an arithmetic number, because the mean of its divisors is an integer number (9470903200).

Almost surely, 2123100211101 is an apocalyptic number.

It is an amenable number.

123100211101 is a deficient number, since it is larger than the sum of its proper divisors (28434240099).

123100211101 is a wasteful number, since it uses less digits than its factorization.

123100211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21524848.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 123100211101 its reverse (101112001321), we get a palindrome (224212212422).

The spelling of 123100211101 in words is "one hundred twenty-three billion, one hundred million, two hundred eleven thousand, one hundred one".

Divisors: 1 7 19 43 133 301 817 5719 21524779 150673453 408970801 925565497 2862795607 6478958479 17585744443 123100211101