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10242300413430 = 2325316101601717
BaseRepresentation
bin1001010100001011100010…
…1011011000010111110110
31100021011011112012120210200
42111002320223120113312
52320302212401212210
633441125311501330
72104660516024641
oct225027053302766
940234145176720
1010242300413430
11329980a626988
121195039827846
13593ac9cb8317
14275a31116a58
1512b65bd030c0
hex950b8ad85f6

10242300413430 has 96 divisors (see below), whose sum is σ = 27493564071168. Its totient is φ = 2642736672000.

The previous prime is 10242300413357. The next prime is 10242300413431. The reversal of 10242300413430 is 3431400324201.

10242300413430 is a `hidden beast` number, since 1 + 0 + 242 + 3 + 0 + 0 + 413 + 4 + 3 + 0 = 666.

10242300413430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10242300413394 and 10242300413403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242300413431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16720932 + ... + 17322648.

It is an arithmetic number, because the mean of its divisors is an integer number (286391292408).

Almost surely, 210242300413430 is an apocalyptic number.

10242300413430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242300413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746782035584).

10242300413430 is an abundant number, since it is smaller than the sum of its proper divisors (17251263657738).

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

10242300413430 is a wasteful number, since it uses less digits than its factorization.

10242300413430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607862 (or 607859 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10242300413430 its reverse (3431400324201), we get a palindrome (13673700737631).

The spelling of 10242300413430 in words is "ten trillion, two hundred forty-two billion, three hundred million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 6101 12202 18303 30505 36606 54909 61010 91515 109818 183030 189131 274545 378262 549090 567393 601717 945655 1134786 1203434 1702179 1805151 1891310 2836965 3008585 3404358 3610302 5415453 5673930 6017170 8510895 9025755 10830906 17021790 18051510 18653227 27077265 37306454 54154530 55959681 93266135 111919362 167879043 186532270 279798405 335758086 559596810 839395215 1678790430 3671075417 7342150834 11013226251 18355377085 22026452502 33039678753 36710754170 55066131255 66079357506 110132262510 113803337927 165198393765 227606675854 330396787530 341410013781 569016689635 682820027562 1024230041343 1138033379270 1707050068905 2048460082686 3414100137810 5121150206715 10242300413430