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12313131033000 = 233537586339573
BaseRepresentation
bin1011001100101101111111…
…0011010010000110101000
31121121010100021100201111010
42303023133303102012220
53103214243021024000
642104324014503520
72410410602615040
oct263133763220650
947533307321433
1012313131033000
113a17a73513596
12146a44a804ba0
136b417aaaabb5
14307d5ca38720
1516545d2b5d50
hexb32dfcd21a8

12313131033000 has 128 divisors (see below), whose sum is σ = 43905107301120. Its totient is φ = 2814429945600.

The previous prime is 12313131032989. The next prime is 12313131033011. The reversal of 12313131033000 is 33013131321.

It is an interprime number because it is at equal distance from previous prime (12313131032989) and next prime (12313131033011).

It is a super-2 number, since 2×123131310330002 (a number of 27 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293148787 + ... + 293190786.

It is an arithmetic number, because the mean of its divisors is an integer number (343008650790).

Almost surely, 212313131033000 is an apocalyptic number.

12313131033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313131033000 is an abundant number, since it is smaller than the sum of its proper divisors (31591976268120).

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

12313131033000 is a wasteful number, since it uses less digits than its factorization.

12313131033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586339604 (or 586339590 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12313131033000 its reverse (33013131321), we get a palindrome (12346144164321).

The spelling of 12313131033000 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-one million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 586339573 1172679146 1759018719 2345358292 2931697865 3518037438 4104377011 4690716584 5863395730 7036074876 8208754022 8795093595 11726791460 12313131033 14072149752 14658489325 16417508044 17590187190 20521885055 23453582920 24626262066 29316978650 32835016088 35180374380 41043770110 43975467975 49252524132 58633957300 61565655165 70360748760 73292446625 82087540220 87950935950 98505048264 102609425275 117267914600 123131310330 146584893250 164175080440 175901871900 205218850550 219877339875 246262620660 293169786500 307828275825 351803743800 410437701100 439754679750 492525241320 513047126375 586339573000 615656551650 820875402200 879509359500 1026094252750 1231313103300 1539141379125 1759018719000 2052188505500 2462626206600 3078282758250 4104377011000 6156565516500 12313131033000