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10023314301 = 357111389463
BaseRepresentation
bin10010101010110111…
…11010001101111101
3221212112122010100000
421111123322031331
5131011432024201
64334334224513
7503246523450
oct112533721575
927775563300
1010023314301
114283999430
121b38955139
13c39791310
146b12b1497
153d9e65d86
hex2556fa37d

10023314301 has 192 divisors, whose sum is σ = 20429660160. Its totient is φ = 4742115840.

The previous prime is 10023314281. The next prime is 10023314333. The reversal of 10023314301 is 10341332001.

10023314301 is a `hidden beast` number, since 1 + 0 + 0 + 233 + 1 + 430 + 1 = 666.

10023314301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023314301 - 25 = 10023314269 is a prime.

It is a super-2 number, since 2×100233143012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023313301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21648396 + ... + 21648858.

It is an arithmetic number, because the mean of its divisors is an integer number (106404480).

Almost surely, 210023314301 is an apocalyptic number.

10023314301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023314301 is an abundant number, since it is smaller than the sum of its proper divisors (10406345859).

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

10023314301 is a wasteful number, since it uses less digits than its factorization.

10023314301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023314301 its reverse (10341332001), we get a palindrome (20364646302).

The spelling of 10023314301 in words is "ten billion, twenty-three million, three hundred fourteen thousand, three hundred one".