Search a number
-
+
10203130223 = 1113315343427
BaseRepresentation
bin10011000000010011…
…10110100101101111
3222100001222201101222
421200021312211233
5131344000131343
64404240253555
7510562114226
oct114011664557
928301881358
1010203130223
114366445830
121b890112bb
13c67acc480
146cb11bcbd
153eab34a68
hex26027696f

10203130223 has 32 divisors (see below), whose sum is σ = 12607322112. Its totient is φ = 8129347200.

The previous prime is 10203130187. The next prime is 10203130241. The reversal of 10203130223 is 32203130201.

10203130223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10203130223 - 220 = 10202081647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203130253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 213236 + ... + 256662.

It is an arithmetic number, because the mean of its divisors is an integer number (393978816).

Almost surely, 210203130223 is an apocalyptic number.

10203130223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10203130223 is a deficient number, since it is larger than the sum of its proper divisors (2404191889).

10203130223 is a wasteful number, since it uses less digits than its factorization.

10203130223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43535.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10203130223 its reverse (32203130201), we get a palindrome (42406260424).

The spelling of 10203130223 in words is "ten billion, two hundred three million, one hundred thirty thousand, two hundred twenty-three".

Divisors: 1 11 13 31 53 143 341 403 583 689 1643 4433 7579 18073 21359 43427 234949 477697 564551 1346237 2301631 6210061 14808607 17501081 25317941 29921203 71350561 192511891 329133233 784856171 927557293 10203130223