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10001113000 = 235323434831
BaseRepresentation
bin10010101000001110…
…01101111110101000
3221210222212011212121
421110013031332220
5130440241104000
64332222321024
7502560025564
oct112407157650
927728764777
1010001113000
11427240524a
121b31429174
13c34cb9c58
146ac3726a4
153d802cb1a
hex2541cdfa8

10001113000 has 64 divisors (see below), whose sum is σ = 24420165120. Its totient is φ = 3826504000.

The previous prime is 10001112997. The next prime is 10001113007. The reversal of 10001113000 is 31110001.

It is a happy number.

10001113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100011130002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001113007) 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 15 ways as a sum of consecutive naturals, for example, 194416 + ... + 240415.

It is an arithmetic number, because the mean of its divisors is an integer number (381565080).

Almost surely, 210001113000 is an apocalyptic number.

10001113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001113000 is an abundant number, since it is smaller than the sum of its proper divisors (14419052120).

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

10001113000 is a wasteful number, since it uses less digits than its factorization.

10001113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434875 (or 434861 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10001113000 its reverse (31110001), we get a palindrome (10032223001).

The spelling of 10001113000 in words is "ten billion, one million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 434831 869662 1739324 2174155 3478648 4348310 8696620 10001113 10870775 17393240 20002226 21741550 40004452 43483100 50005565 54353875 80008904 86966200 100011130 108707750 200022260 217415500 250027825 400044520 434831000 500055650 1000111300 1250139125 2000222600 2500278250 5000556500 10001113000