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10000110000 = 24354333337
BaseRepresentation
bin10010101000000110…
…11001000110110000
3221210220222020000110
421110003121012300
5130440012010000
64332145021320
7502545350436
oct112403310660
927726866013
1010000110000
11427188a721
121b31024840
13c34a2856a
146ac190d56
153d7dd0850
hex2540d91b0

10000110000 has 100 divisors (see below), whose sum is σ = 32281785272. Its totient is φ = 2666688000.

The previous prime is 10000109981. The next prime is 10000110007. The reversal of 10000110000 is 1100001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10000110000 is a modest number, since divided by 110000 gives 10000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136669 + ... + 196668.

Almost surely, 210000110000 is an apocalyptic number.

10000110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000110000 is an abundant number, since it is smaller than the sum of its proper divisors (22281675272).

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

10000110000 is an equidigital number, since it uses as much as digits as its factorization.

10000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333368 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000110000 its reverse (1100001), we get a palindrome (10001210001).

Subtracting from 10000110000 its reverse (1100001), we obtain a palindrome (9999009999).

The spelling of 10000110000 in words is "ten billion, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 333337 666674 1000011 1333348 1666685 2000022 2666696 3333370 4000044 5000055 5333392 6666740 8000088 8333425 10000110 13333480 16000176 16666850 20000220 25000275 26666960 33333700 40000440 41667125 50000550 66667400 80000880 83334250 100001100 125001375 133334800 166668500 200002200 208335625 250002750 333337000 400004400 416671250 500005500 625006875 666674000 833342500 1000011000 1250013750 1666685000 2000022000 2500027500 3333370000 5000055000 10000110000