Search a number
-
+
23444030410101 = 3275315534521103
BaseRepresentation
bin1010101010010011111010…
…00110101100110101110101
310002000020010210021201212100
411111021331012230311311
511033101333241110401
6121510012222212313
74636526633341410
oct525117506546565
9102006123251770
1023444030410101
117519614a88994
12276773a424099
1310109bb512772
145b09a8cb2b77
152a9c7673ab86
hex15527d1acd75

23444030410101 has 48 divisors (see below), whose sum is σ = 39456868179456. Its totient is φ = 13135356569088.

The previous prime is 23444030410079. The next prime is 23444030410117. The reversal of 23444030410101 is 10101403044432.

23444030410101 is a `hidden beast` number, since 2 + 344 + 4 + 0 + 304 + 1 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 23444030410101 - 29 = 23444030409589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444030410121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924916 + ... + 7446018.

It is an arithmetic number, because the mean of its divisors is an integer number (822018087072).

Almost surely, 223444030410101 is an apocalyptic number.

23444030410101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23444030410101 is a deficient number, since it is larger than the sum of its proper divisors (16012837769355).

23444030410101 is a wasteful number, since it uses less digits than its factorization.

23444030410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522722 (or 4522719 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23444030410101 its reverse (10101403044432), we get a palindrome (33545433454533).

The spelling of 23444030410101 in words is "twenty-three trillion, four hundred forty-four billion, thirty million, four hundred ten thousand, one hundred one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 1553 3339 4659 10871 13977 32613 82309 97839 246927 576163 740781 1728489 4521103 5185467 13563309 31647721 40689927 94943163 239618459 284829489 718855377 1677329213 2156566131 5031987639 7021272959 15095962917 21063818877 49148910713 63191456631 147446732139 372127466827 442340196417 1116382400481 2604892267789 3349147201443 7814676803367 23444030410101