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10304312000 = 26531775767
BaseRepresentation
bin10011001100010111…
…10101001011000000
3222121010101021201012
421212023311023000
5132100400441000
64422253100052
7513231130643
oct114613651300
928533337635
1010304312000
114408574134
121bb6a87628
13c82a67b48
146da739a5a
1540496e735
hex2662f52c0

10304312000 has 112 divisors (see below), whose sum is σ = 27020081088. Its totient is φ = 3879219200.

The previous prime is 10304311961. The next prime is 10304312059. The reversal of 10304312000 is 21340301.

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, 98117 + ... + 173883.

It is an arithmetic number, because the mean of its divisors is an integer number (241250724).

Almost surely, 210304312000 is an apocalyptic number.

10304312000 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 10304312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510040544).

10304312000 is an abundant number, since it is smaller than the sum of its proper divisors (16715769088).

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

10304312000 is an equidigital number, since it uses as much as digits as its factorization.

10304312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75811 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10304312000 its reverse (21340301), we get a palindrome (10325652301).

The spelling of 10304312000 in words is "ten billion, three hundred four million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 75767 136000 151534 303068 378835 606136 757670 1212272 1288039 1515340 1894175 2424544 2576078 3030680 3788350 4849088 5152156 6061360 6440195 7576700 9470875 10304312 12122720 12880390 15153400 18941750 20608624 24245440 25760780 30306800 32200975 37883500 41217248 51521560 60613600 64401950 75767000 82434496 103043120 121227200 128803900 151534000 161004875 206086240 257607800 303068000 322009750 412172480 515215600 606136000 644019500 1030431200 1288039000 2060862400 2576078000 5152156000 10304312000