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10012301200 = 2452119723459
BaseRepresentation
bin10010101001100011…
…11001011110010000
3221211202220121012101
421110301321132100
5131001122114300
64333302210144
7503054104336
oct112461713620
927752817171
1010012301200
1142787570a0
121b35123954
13c374065a5
146ada45b56
153d8edcb6a
hex254c79790

10012301200 has 120 divisors (see below), whose sum is σ = 26512990560. Its totient is φ = 3603148800.

The previous prime is 10012301197. The next prime is 10012301207. The reversal of 10012301200 is 210321001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10012301207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415071 + ... + 438529.

It is an arithmetic number, because the mean of its divisors is an integer number (220941588).

Almost surely, 210012301200 is an apocalyptic number.

10012301200 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 10012301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256495280).

10012301200 is an abundant number, since it is smaller than the sum of its proper divisors (16500689360).

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

10012301200 is a wasteful number, since it uses less digits than its factorization.

10012301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23585 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10012301200 its reverse (210321001), we get a palindrome (10222622201).

The spelling of 10012301200 in words is "ten billion, twelve million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 176 194 200 220 275 388 400 440 485 550 776 880 970 1067 1100 1552 1940 2134 2200 2425 3880 4268 4400 4850 5335 7760 8536 9700 10670 17072 19400 21340 23459 26675 38800 42680 46918 53350 85360 93836 106700 117295 187672 213400 234590 258049 375344 426800 469180 516098 586475 938360 1032196 1172950 1290245 1876720 2064392 2275523 2345900 2580490 4128784 4551046 4691800 5160980 6451225 9102092 9383600 10321960 11377615 12902450 18204184 20643920 22755230 25030753 25804900 36408368 45510460 50061506 51609800 56888075 91020920 100123012 103219600 113776150 125153765 182041840 200246024 227552300 250307530 400492048 455104600 500615060 625768825 910209200 1001230120 1251537650 2002460240 2503075300 5006150600 10012301200