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12434022021300 = 223521123163821107
BaseRepresentation
bin1011010011110000010101…
…1101110011100010110100
31122000200101101002020011020
42310330011131303202310
53112204334114140200
642240035540141140
72422220441224005
oct264740535634264
948020341066136
1012434022021300
113a6426a305380
1214899689977b0
136c26a5754b79
1430db4a4331ac
151686865b7ea0
hexb4f057738b4

12434022021300 has 144 divisors (see below), whose sum is σ = 40952655862272. Its totient is φ = 2883251465600.

The previous prime is 12434022021287. The next prime is 12434022021301. The reversal of 12434022021300 is 312022043421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434022021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81834654 + ... + 81986453.

It is an arithmetic number, because the mean of its divisors is an integer number (284393443488).

Almost surely, 212434022021300 is an apocalyptic number.

12434022021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434022021300 is an abundant number, since it is smaller than the sum of its proper divisors (28518633840972).

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

12434022021300 is a wasteful number, since it uses less digits than its factorization.

12434022021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163821158 (or 163821151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12434022021300 its reverse (312022043421), we get a palindrome (12746044064721).

The spelling of 12434022021300 in words is "twelve trillion, four hundred thirty-four billion, twenty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 163821107 327642214 491463321 655284428 819105535 982926642 1638211070 1802032177 1965853284 2457316605 3276422140 3604064354 3767885461 4095527675 4914633210 5406096531 7208128708 7535770922 8191055350 9010160885 9829266420 10812193062 11303656383 12286583025 15071541844 16382110700 18020321770 18839427305 21624386124 22607312766 24573166050 27030482655 36040643540 37678854610 41446740071 45050804425 45214625532 49146332100 54060965310 56518281915 75357709220 82893480142 90101608850 94197136525 108121930620 113036563830 124340220213 135152413275 165786960284 180203217700 188394273050 207233700355 226073127660 248680440426 270304826550 282591409575 376788546100 414467400710 497360880852 540609653100 565182819150 621701101065 828934801420 1036168501775 1130365638300 1243402202130 2072337003550 2486804404260 3108505505325 4144674007100 6217011010650 12434022021300