Search a number
-
+
23210113101 = 371975939461
BaseRepresentation
bin10101100111011011…
…100011100001001101
32012220112220220120120
4111213123203201031
5340013242104401
614355041135153
71451111464140
oct254733434115
965815826516
1023210113101
11993055a55a
1245b902a4b9
13225b777646
1411a2784057
1590c9b5836
hex5676e384d

23210113101 has 32 divisors (see below), whose sum is σ = 35611031808. Its totient is φ = 13171952640.

The previous prime is 23210113099. The next prime is 23210113127. The reversal of 23210113101 is 10131101232.

It is a happy number.

It is not a de Polignac number, because 23210113101 - 21 = 23210113099 is a prime.

It is a super-2 number, since 2×232101131012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210113151) 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 31 ways as a sum of consecutive naturals, for example, 2448511 + ... + 2457971.

It is an arithmetic number, because the mean of its divisors is an integer number (1112844744).

Almost surely, 223210113101 is an apocalyptic number.

23210113101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23210113101 is a deficient number, since it is larger than the sum of its proper divisors (12400918707).

23210113101 is a wasteful number, since it uses less digits than its factorization.

23210113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23210113101 its reverse (10131101232), we get a palindrome (33341214333).

The spelling of 23210113101 in words is "twenty-three billion, two hundred ten million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 21 197 591 593 1379 1779 4137 4151 9461 12453 28383 66227 116821 198681 350463 817747 1863817 2453241 5591451 5610373 13046719 16831119 39140157 39272611 117817833 1105243481 3315730443 7736704367 23210113101