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10010014204300 = 225211591091415023
BaseRepresentation
bin1001000110101010001101…
…0101110100000110001100
31022102221121002201112120221
42101222203111310012030
52303001002114014200
633142312000121124
72052125324566225
oct221524325640614
938387532645527
1010010014204300
11320a25006aa20
1211580116061a4
13577c2ba7a0b6
142686b710c24c
151255b41a991a
hex91aa357418c

10010014204300 has 144 divisors (see below), whose sum is σ = 24319168473600. Its totient is φ = 3545479123200.

The previous prime is 10010014204297. The next prime is 10010014204367. The reversal of 10010014204300 is 340241001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6366589 + ... + 7781611.

It is an arithmetic number, because the mean of its divisors is an integer number (168883114400).

Almost surely, 210010014204300 is an apocalyptic number.

10010014204300 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 10010014204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159584236800).

10010014204300 is an abundant number, since it is smaller than the sum of its proper divisors (14309154269300).

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

10010014204300 is a wasteful number, since it uses less digits than its factorization.

10010014204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415216 (or 1415209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10010014204300 its reverse (340241001001), we get a palindrome (10350255205301).

The spelling of 10010014204300 in words is "ten trillion, ten billion, fourteen million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 109 110 118 218 220 236 275 295 436 545 550 590 649 1090 1100 1180 1199 1298 1475 2180 2398 2596 2725 2950 3245 4796 5450 5900 5995 6431 6490 10900 11990 12862 12980 16225 23980 25724 29975 32155 32450 59950 64310 64900 70741 119900 128620 141482 160775 282964 321550 353705 643100 707410 1414820 1415023 1768525 2830046 3537050 5660092 7074100 7075115 14150230 15565253 28300460 31130506 35375575 62261012 70751150 77826265 83486357 141502300 154237507 155652530 166972714 308475014 311305060 333945428 389131325 417431785 616950028 771187535 778262650 834863570 918349927 1542375070 1556525300 1669727140 1696612577 1836699854 2087158925 3084750140 3393225154 3673399708 3855937675 4174317850 4591749635 6786450308 7711875350 8348635700 8483062885 9100012913 9183499270 15423750700 16966125770 18200025826 18366998540 22958748175 33932251540 36400051652 42415314425 45500064565 45917496350 84830628850 91000129130 91834992700 100100142043 169661257700 182000258260 200200284086 227500322825 400400568172 455000645650 500500710215 910001291300 1001001420430 2002002840860 2502503551075 5005007102150 10010014204300