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10424442000 = 243537248201
BaseRepresentation
bin10011011010101100…
…00101110010010000
3222220111102112002110
421231112011302100
5132322124121000
64442223545320
7516220203120
oct115526056220
928814375073
1010424442000
11446a364625
12202b15b240
13ca1908c9b
1470c68ac80
1541029d850
hex26d585c90

10424442000 has 160 divisors (see below), whose sum is σ = 38409755904. Its totient is φ = 2382720000.

The previous prime is 10424441999. The next prime is 10424442019. The reversal of 10424442000 is 24442401.

It is a super-2 number, since 2×104244420002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82101 + ... + 166100.

Almost surely, 210424442000 is an apocalyptic number.

10424442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424442000 is an abundant number, since it is smaller than the sum of its proper divisors (27985313904).

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

10424442000 is a wasteful number, since it uses less digits than its factorization.

10424442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248234 (or 248218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10424442000 its reverse (24442401), we get a palindrome (10448884401).

The spelling of 10424442000 in words is "ten billion, four hundred twenty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 248201 496402 744603 992804 1241005 1489206 1737407 1985608 2482010 2978412 3474814 3723015 3971216 4964020 5212221 5956824 6205025 6949628 7446030 8687035 9928040 10424442 11913648 12410050 13899256 14892060 17374070 18615075 19856080 20848884 24820100 26061105 27798512 29784120 31025125 34748140 37230150 41697768 43435175 49640200 52122210 59568240 62050250 69496280 74460300 83395536 86870350 93075375 99280400 104244420 124100500 130305525 138992560 148920600 173740700 186150750 208488840 217175875 248201000 260611050 297841200 347481400 372301500 416977680 434351750 496402000 521222100 651527625 694962800 744603000 868703500 1042444200 1303055250 1489206000 1737407000 2084888400 2606110500 3474814000 5212221000 10424442000