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10023101213 = 17109131157263
BaseRepresentation
bin10010101010110110…
…00110001100011101
3221212112020022000212
421111123012030131
5131011403214323
64334325502205
7503244645266
oct112533061435
927775208025
1010023101213
114283863324
121b38871965
13c39718328
146b125796d
153d9e22b78
hex2556c631d

10023101213 has 32 divisors (see below), whose sum is σ = 10901848320. Its totient is φ = 9181486080.

The previous prime is 10023101177. The next prime is 10023101227. The reversal of 10023101213 is 31210132001.

10023101213 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 10023101213 - 210 = 10023100189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023101233) 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, 38110520 + ... + 38110782.

It is an arithmetic number, because the mean of its divisors is an integer number (340682760).

Almost surely, 210023101213 is an apocalyptic number.

It is an amenable number.

10023101213 is a deficient number, since it is larger than the sum of its proper divisors (878747107).

10023101213 is a wasteful number, since it uses less digits than its factorization.

10023101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10023101213 its reverse (31210132001), we get a palindrome (41233233214).

The spelling of 10023101213 in words is "ten billion, twenty-three million, one hundred one thousand, two hundred thirteen".

Divisors: 1 17 109 131 157 263 1853 2227 2669 4471 14279 17113 20567 28667 34453 41291 242743 290921 349639 487339 585701 701947 2241803 3755377 4500719 5409121 38110651 63841409 76512223 91955057 589594189 10023101213