Search a number
-
+
10023003143532 = 22321471189270397
BaseRepresentation
bin1001000111011010100110…
…0010101011110101101100
31022111012010022201000112100
42101312221202223311230
52303204102301043112
633152300514135100
72053065235005561
oct221665142536554
938435108630470
1010023003143532
113214805a80245
12115a637581490
1357921ba78462
1426918a1d8868
15125ac46742dc
hex91da98abd6c

10023003143532 has 36 divisors (see below), whose sum is σ = 25353148352896. Its totient is φ = 3338729785440.

The previous prime is 10023003143521. The next prime is 10023003143563. The reversal of 10023003143532 is 23534130032001.

10023003143532 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 300 + 3 + 1 + 4 + 353 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10023003143496 and 10023003143505.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 94582243 + ... + 94688154.

Almost surely, 210023003143532 is an apocalyptic number.

10023003143532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023003143532 is an abundant number, since it is smaller than the sum of its proper divisors (15330145209364).

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

10023003143532 is a wasteful number, since it uses less digits than its factorization.

10023003143532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189271878 (or 189271873 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10023003143532 its reverse (23534130032001), we get a palindrome (33557133175533).

The spelling of 10023003143532 in words is "ten trillion, twenty-three billion, three million, one hundred forty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1471 2942 4413 5884 8826 13239 17652 26478 52956 189270397 378540794 567811191 757081588 1135622382 1703433573 2271244764 3406867146 6813734292 278416753987 556833507974 835250261961 1113667015948 1670500523922 2505750785883 3341001047844 5011501571766 10023003143532