Search a number
-
+
10023110232201 = 3211673911165133
BaseRepresentation
bin1001000111011010111111…
…1011001100100010001001
31022111012101210012200120100
42101312233323030202021
52303204312204412301
633152315301320013
72053101005153463
oct221665773144211
938435353180510
1010023110232201
113214860473580
12115a667406009
13579238001631
1426919a513133
15125acdc79286
hex91dafecc889

10023110232201 has 48 divisors (see below), whose sum is σ = 15834918557952. Its totient is φ = 6058891238400.

The previous prime is 10023110232119. The next prime is 10023110232203. The reversal of 10023110232201 is 10223201132001.

10023110232201 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 1 + 0 + 232 + 201 = 666.

It is not a de Polignac number, because 10023110232201 - 213 = 10023110224009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023110232203) 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 47 ways as a sum of consecutive naturals, for example, 60614631 + ... + 60779763.

It is an arithmetic number, because the mean of its divisors is an integer number (329894136624).

Almost surely, 210023110232201 is an apocalyptic number.

10023110232201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023110232201 is a deficient number, since it is larger than the sum of its proper divisors (5811808325751).

10023110232201 is a wasteful number, since it uses less digits than its factorization.

10023110232201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166734 (or 166731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10023110232201 its reverse (10223201132001), we get a palindrome (20246311364202).

The spelling of 10023110232201 in words is "ten trillion, twenty-three billion, one hundred ten million, two hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 99 673 911 2019 2733 6057 7403 8199 10021 22209 30063 66627 90189 165133 495399 613103 1486197 1816463 1839309 5449389 5517927 6744133 16348167 20232399 60697197 111134509 150436163 333403527 451308489 1000210581 1222479599 1353925467 1654797793 3667438797 4964393379 11002316391 14893180137 101243537699 303730613097 911191839291 1113678914689 3341036744067 10023110232201