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10000001111000 = 2353233114025247
BaseRepresentation
bin1001000110000100111010…
…0000111001001111011000
31022101222202021022200211112
42101201032200321033120
52302320000241023000
633133534224515452
72051322230652335
oct221411640711730
938358667280745
1010000001111000
113205a81a227aa
12115609817bb88
13576cc4457114
1426800733b98c
151251ca0b2235
hex9184e8393d8

10000001111000 has 128 divisors (see below), whose sum is σ = 25205053685760. Its totient is φ = 3702664944000.

The previous prime is 10000001110999. The next prime is 10000001111059. The reversal of 10000001111000 is 11110000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

10000001111000 is a modest number, since divided by 1111000 gives 100000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6299624 + ... + 7725623.

It is an arithmetic number, because the mean of its divisors is an integer number (196914481920).

Almost surely, 210000001111000 is an apocalyptic number.

10000001111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001111000 is an abundant number, since it is smaller than the sum of its proper divisors (15205052574760).

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

10000001111000 is a wasteful number, since it uses less digits than its factorization.

10000001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025322 (or 14025308 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000001111000 its reverse (11110000001), we get a palindrome (10011111111001).

The spelling of 10000001111000 in words is "ten trillion, one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 125 155 184 200 230 248 250 310 460 500 575 620 713 775 920 1000 1150 1240 1426 1550 2300 2852 2875 3100 3565 3875 4600 5704 5750 6200 7130 7750 11500 14260 15500 17825 23000 28520 31000 35650 71300 89125 142600 178250 356500 713000 14025247 28050494 56100988 70126235 112201976 140252470 280504940 322580681 350631175 434782657 561009880 645161362 701262350 869565314 1290322724 1402524700 1612903405 1739130628 1753155875 2173913285 2580645448 2805049400 3225806810 3478261256 3506311750 4347826570 6451613620 7012623500 8064517025 8695653140 10000001111 10869566425 12903227240 14025247000 16129034050 17391306280 20000002222 21739132850 32258068100 40000004444 40322585125 43478265700 50000005555 54347832125 64516136200 80000008888 80645170250 86956531400 100000011110 108695664250 161290340500 200000022220 217391328500 250000027775 322580681000 400000044440 434782657000 500000055550 1000000111100 1250000138875 2000000222200 2500000277750 5000000555500 10000001111000