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10001322300 = 22352233146757
BaseRepresentation
bin10010101000010000…
…00001000100111100
3221211000020210222110
421110020001010330
5130440314303200
64332231014020
7502561560024
oct112410010474
927730223873
1010001322300
114272538522
121b3150a310
13c350612b8
146ac3c8a84
153d806eb50
hex25420113c

10001322300 has 144 divisors (see below), whose sum is σ = 31170004992. Its totient is φ = 2468716800.

The previous prime is 10001322251. The next prime is 10001322319. The reversal of 10001322300 is 322310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190522 + ... + 237278.

It is an arithmetic number, because the mean of its divisors is an integer number (216458368).

Almost surely, 210001322300 is an apocalyptic number.

10001322300 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 10001322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585002496).

10001322300 is an abundant number, since it is smaller than the sum of its proper divisors (21168682692).

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

10001322300 is a wasteful number, since it uses less digits than its factorization.

10001322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46828 (or 46821 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10001322300 its reverse (322310001), we get a palindrome (10323632301).

The spelling of 10001322300 in words is "ten billion, one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4278 4650 6900 7130 8556 9300 10695 14260 17825 21390 35650 42780 46757 53475 71300 93514 106950 140271 187028 213900 233785 280542 467570 561084 701355 935140 1075411 1168925 1402710 1449467 2150822 2337850 2805420 2898934 3226233 3506775 4301644 4348401 4675700 5377055 5797868 6452466 7013550 7247335 8696802 10754110 12904932 14027100 14494670 16131165 17393604 21508220 21742005 26885275 28989340 32262330 33337741 36236675 43484010 53770550 64524660 66675482 72473350 80655825 86968020 100013223 107541100 108710025 133350964 144946700 161311650 166688705 200026446 217420050 322623300 333377410 400052892 434840100 500066115 666754820 833443525 1000132230 1666887050 2000264460 2500330575 3333774100 5000661150 10001322300