Search a number
-
+
10023112030113 = 3272131748318861
BaseRepresentation
bin1001000111011011000000…
…0010000011011110100001
31022111012101220121000211200
42101312300002003132201
52303204313134430423
633152315404031413
72053101026352300
oct221666002033641
938435356530750
1010023112030113
113214861491356
12115a667b32569
135792384b0aa0
1426919a860437
15125acded1d43
hex91db00837a1

10023112030113 has 36 divisors (see below), whose sum is σ = 18137059874388. Its totient is φ = 5286916232640.

The previous prime is 10023112030081. The next prime is 10023112030123. The reversal of 10023112030113 is 31103021132001.

10023112030113 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 120 + 301 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 615929875344 + 9407182154769 = 784812^2 + 3067113^2 .

It is not a de Polignac number, because 10023112030113 - 25 = 10023112030081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023112030123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874153698 + ... + 874165163.

It is an arithmetic number, because the mean of its divisors is an integer number (503807218733).

Almost surely, 210023112030113 is an apocalyptic number.

10023112030113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10023112030113 is a deficient number, since it is larger than the sum of its proper divisors (8113947844275).

10023112030113 is a wasteful number, since it uses less digits than its factorization.

10023112030113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748318894 (or 1748318884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10023112030113 its reverse (31103021132001), we get a palindrome (41126133162114).

The spelling of 10023112030113 in words is "ten trillion, twenty-three billion, one hundred twelve million, thirty thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 1748318861 5244956583 12238232027 15734869749 22728145193 36714696081 68184435579 85667624189 110144088243 159097016351 204553306737 257002872567 477291049053 771008617701 1113679114457 1431873147159 3341037343371 10023112030113