Search a number
-
+
10023011303313 = 3149419121743973
BaseRepresentation
bin1001000111011010101000…
…0001110011111110010001
31022111012010220001120122110
42101312222001303332101
52303204111343201223
633152301405055533
72053065364242201
oct221665201637621
938435126046573
1010023011303313
11321480a643868
12115a63a2575a9
13579220674528
1426918b320401
15125ac5236d93
hex91daa073f91

10023011303313 has 32 divisors (see below), whose sum is σ = 13497203664000. Its totient is φ = 6615730221056.

The previous prime is 10023011303311. The next prime is 10023011303323. The reversal of 10023011303313 is 31330311032001.

10023011303313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10023011303313 - 21 = 10023011303311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023011303313.

It is not an unprimeable number, because it can be changed into a prime (10023011303311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227913595 + ... + 227957567.

It is an arithmetic number, because the mean of its divisors is an integer number (421787614500).

Almost surely, 210023011303313 is an apocalyptic number.

It is an amenable number.

10023011303313 is a deficient number, since it is larger than the sum of its proper divisors (3474192360687).

10023011303313 is a wasteful number, since it uses less digits than its factorization.

10023011303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45761.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10023011303313 its reverse (31330311032001), we get a palindrome (41353322335314).

The spelling of 10023011303313 in words is "ten trillion, twenty-three billion, eleven million, three hundred three thousand, three hundred thirteen".

Divisors: 1 3 149 419 447 1217 1257 3651 43973 62431 131919 181333 187293 509923 543999 1529769 6551977 18424687 19655931 53515141 55274061 75978527 160545423 227935581 2745278363 7973756009 8235835089 22422844079 23921268027 67268532237 3341003767771 10023011303313