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11003031114000 = 243532963235811
BaseRepresentation
bin1010000000011101011111…
…0000101101000100010000
31102221212202011020020000220
42200013113300231010100
52420233201431122000
635222420034513040
72213641240214352
oct240072760550420
942855664206026
1011003031114000
1135623a5240802
121298564a35780
1361a7733b0633
142a0799d5b0d2
151413328471a0
hexa01d7c2d110

11003031114000 has 160 divisors (see below), whose sum is σ = 36697006419840. Its totient is φ = 2832964288000.

The previous prime is 11003031113999. The next prime is 11003031114007. The reversal of 11003031114000 is 41113030011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11003031114007) 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 31 ways as a sum of consecutive naturals, for example, 31443906 + ... + 31791905.

It is an arithmetic number, because the mean of its divisors is an integer number (229356290124).

Almost surely, 211003031114000 is an apocalyptic number.

11003031114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003031114000 is an abundant number, since it is smaller than the sum of its proper divisors (25693975305840).

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

11003031114000 is a wasteful number, since it uses less digits than its factorization.

11003031114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63235866 (or 63235850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11003031114000 its reverse (41113030011), we get a palindrome (11044144144011).

The spelling of 11003031114000 in words is "eleven trillion, three billion, thirty-one million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 63235811 126471622 189707433 252943244 316179055 379414866 505886488 632358110 758829732 948537165 1011772976 1264716220 1517659464 1580895275 1833838519 1897074330 2529432440 3035318928 3161790550 3667677038 3794148660 4742685825 5058864880 5501515557 6323581100 7335354076 7588297320 7904476375 9169192595 9485371650 11003031114 12647162200 14670708152 15176594640 15808952750 18338385190 18970743300 22006062228 23713429125 25294324400 27507577785 29341416304 31617905500 36676770380 37941486600 44012124456 45845962975 47426858250 55015155570 63235811000 73353540760 75882973200 88024248912 91691925950 94853716500 110030311140 126471622000 137537888925 146707081520 183383851900 189707433000 220060622280 229229814875 275075777850 366767703800 379414866000 440121244560 458459629750 550151555700 687689444625 733535407600 916919259500 1100303111400 1375378889250 1833838519000 2200606222800 2750757778500 3667677038000 5501515557000 11003031114000