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23110200100 = 22521317777077
BaseRepresentation
bin10101100001011110…
…011010101100100100
32012122120220210201001
4111201132122230210
5334312202400400
614341111443044
71445456313451
oct254136325444
965576823631
1023110200100
11988a118429
12458b686484
132243b64620
1411933b6828
15903d2ba6a
hex56179ab24

23110200100 has 36 divisors (see below), whose sum is σ = 54006762964. Its totient is φ = 8532996480.

The previous prime is 23110200089. The next prime is 23110200109. The reversal of 23110200100 is 100201132.

It can be written as a sum of positive squares in 6 ways, for example, as 5628600576 + 17481599524 = 75024^2 + 132218^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23110200109) 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 11 ways as a sum of consecutive naturals, for example, 8887239 + ... + 8889838.

Almost surely, 223110200100 is an apocalyptic number.

23110200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23110200100 is an abundant number, since it is smaller than the sum of its proper divisors (30896562864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23110200100 is a wasteful number, since it uses less digits than its factorization.

23110200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17777104 (or 17777097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 23110200100 its reverse (100201132), we get a palindrome (23210401232).

The spelling of 23110200100 in words is "twenty-three billion, one hundred ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 17777077 35554154 71108308 88885385 177770770 231102001 355541540 444426925 462204002 888853850 924408004 1155510005 1777707700 2311020010 4622040020 5777550025 11555100050 23110200100