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103312312000 = 265318676917
BaseRepresentation
bin110000000110111100…
…1001100011011000000
3100212200000100020002221
41200031321030123000
53143040422441000
6115243325220424
710315114106542
oct1401571143300
9325600306087
10103312312000
113a8a611a137
1218033101714
139985b12a81
145000d23692
152a49e2061a
hex180de4c6c0

103312312000 has 112 divisors (see below), whose sum is σ = 256026989088. Its totient is φ = 41296819200.

The previous prime is 103312311953. The next prime is 103312312021. The reversal of 103312312000 is 213213301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14932542 + ... + 14939458.

Almost surely, 2103312312000 is an apocalyptic number.

103312312000 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 103312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128013494544).

103312312000 is an abundant number, since it is smaller than the sum of its proper divisors (152714677088).

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

103312312000 is an equidigital number, since it uses as much as digits as its factorization.

103312312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103312312000 its reverse (213213301), we get a palindrome (103525525301).

The spelling of 103312312000 in words is "one hundred three billion, three hundred twelve million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 1867 2000 3734 4000 6917 7468 8000 9335 13834 14936 18670 27668 29872 34585 37340 46675 55336 59744 69170 74680 93350 110672 119488 138340 149360 172925 186700 221344 233375 276680 298720 345850 373400 442688 466750 553360 597440 691700 746800 864625 933500 1106720 1383400 1493600 1729250 1867000 2213440 2766800 2987200 3458500 3734000 5533600 6917000 7468000 11067200 12914039 13834000 14936000 25828078 27668000 51656156 55336000 64570195 103312312 129140390 206624624 258280780 322850975 413249248 516561560 645701950 826498496 1033123120 1291403900 1614254875 2066246240 2582807800 3228509750 4132492480 5165615600 6457019500 10331231200 12914039000 20662462400 25828078000 51656156000 103312312000