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12313211113000 = 2353711087158657
BaseRepresentation
bin1011001100101110010010…
…0100110000111000101000
31121121010112212001012121001
42303023210210300320220
53103214424021104000
642104335555124344
72410412564363320
oct263134444607050
947533485035531
1012313211113000
113a18004739906
12146a4715a36b4
136b4191568805
14307d69522280
1516546533346a
hexb32e4930e28

12313211113000 has 128 divisors (see below), whose sum is σ = 32932222202880. Its totient is φ = 4221264998400.

The previous prime is 12313211112949. The next prime is 12313211113009. The reversal of 12313211113000 is 31111231321.

It is not an unprimeable number, because it can be changed into a prime (12313211113009) by changing a digit.

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, 77529672 + ... + 77688328.

It is an arithmetic number, because the mean of its divisors is an integer number (257282985960).

Almost surely, 212313211113000 is an apocalyptic number.

12313211113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313211113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466111101440).

12313211113000 is an abundant number, since it is smaller than the sum of its proper divisors (20619011089880).

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

12313211113000 is a wasteful number, since it uses less digits than its factorization.

12313211113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169772 (or 169758 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12313211113000 its reverse (31111231321), we get a palindrome (12344322344321).

The spelling of 12313211113000 in words is "twelve trillion, three hundred thirteen billion, two hundred eleven million, one hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 11087 22174 44348 55435 77609 88696 110870 155218 158657 221740 277175 310436 317314 388045 443480 554350 620872 634628 776090 793285 1108700 1110599 1269256 1385875 1552180 1586570 1940225 2217400 2221198 2771750 3104360 3173140 3880450 3966425 4442396 5543500 5552995 6346280 7760900 7932850 8884792 9701125 11087000 11105990 15521800 15865700 19402250 19832125 22211980 27764975 31731400 38804500 39664250 44423960 55529950 77609000 79328500 111059900 138824875 158657000 222119800 277649750 555299500 1110599000 1759030159 3518060318 7036120636 8795150795 12313211113 14072241272 17590301590 24626422226 35180603180 43975753975 49252844452 61566055565 70361206360 87951507950 98505688904 123132111130 175903015900 219878769875 246264222260 307830277825 351806031800 439757539750 492528444520 615660555650 879515079500 1231321111300 1539151389125 1759030159000 2462642222600 3078302778250 6156605556500 12313211113000