Search a number
-
+
10023012045 = 325297680469
BaseRepresentation
bin10010101010110101…
…10000011011001101
3221212112001202201100
421111122300123031
5131011342341140
64334323533313
7503244124314
oct112532603315
927775052640
1010023012045
114283802332
121b3882a239
13c396b6877
146b123327b
153d9e06530
hex2556b06cd

10023012045 has 24 divisors (see below), whose sum is σ = 17972299800. Its totient is φ = 5161274496.

The previous prime is 10023012019. The next prime is 10023012061. The reversal of 10023012045 is 54021032001.

10023012045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4112785161 + 5910226884 = 64131^2 + 76878^2 .

It is not a de Polignac number, because 10023012045 - 210 = 10023011021 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3838930 + ... + 3841539.

It is an arithmetic number, because the mean of its divisors is an integer number (748845825).

Almost surely, 210023012045 is an apocalyptic number.

10023012045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023012045 is a deficient number, since it is larger than the sum of its proper divisors (7949287755).

10023012045 is a wasteful number, since it uses less digits than its factorization.

10023012045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680509 (or 7680506 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10023012045 its reverse (54021032001), we get a palindrome (64044044046).

The spelling of 10023012045 in words is "ten billion, twenty-three million, twelve thousand, forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 7680469 23041407 38402345 69124221 115207035 222733601 345621105 668200803 1113668005 2004602409 3341004015 10023012045