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13012313001000 = 2335319228286193
BaseRepresentation
bin1011110101011010101001…
…0010110100110000101000
31201001222001110120210021120
42331112222102310300220
53201143204112013000
643401435110535240
72512052150363445
oct275265222646050
951058043523246
1013012313001000
114167544505685
121561a59367520
13735095920521
1432db2943c9cc
151787306336a0
hexbd5aa4b4c28

13012313001000 has 128 divisors (see below), whose sum is σ = 42735175516800. Its totient is φ = 3287321164800.

The previous prime is 13012313000977. The next prime is 13012313001001. The reversal of 13012313001000 is 10031321031.

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 (13012313001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114086097 + ... + 114200096.

It is an arithmetic number, because the mean of its divisors is an integer number (333868558725).

Almost surely, 213012313001000 is an apocalyptic number.

13012313001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13012313001000 is an abundant number, since it is smaller than the sum of its proper divisors (29722862515800).

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

13012313001000 is a wasteful number, since it uses less digits than its factorization.

13012313001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228286236 (or 228286222 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13012313001000 its reverse (10031321031), we get a palindrome (13022344322031).

The spelling of 13012313001000 in words is "thirteen trillion, twelve billion, three hundred thirteen million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 228286193 456572386 684858579 913144772 1141430965 1369717158 1826289544 2282861930 2739434316 3424292895 4337437667 4565723860 5478868632 5707154825 6848585790 8674875334 9131447720 11414309650 13012313001 13697171580 17121464475 17349750668 21687188335 22828619300 26024626002 27394343160 28535774125 34242928950 34699501336 43374376670 45657238600 52049252004 57071548250 65061565005 68485857900 85607322375 86748753340 104098504008 108435941675 114143096500 130123130010 136971715800 171214644750 173497506680 216871883350 228286193000 260246260020 325307825025 342429289500 433743766700 520492520040 542179708375 650615650050 684858579000 867487533400 1084359416750 1301231300100 1626539125125 2168718833500 2602462600200 3253078250250 4337437667000 6506156500500 13012313001000