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10244042340030 = 2325379049339959
BaseRepresentation
bin1001010100010010000010…
…0000010011011010111110
31100021022122220221121212200
42111010200200103122332
52320314244314340110
633442014215212330
72105051630121102
oct225044040233276
940238586847780
1010244042340030
11329a523926144
1211954450770a6
13594016b54315
14275b585d3902
1512b70ebd96c0
hex951208136be

10244042340030 has 96 divisors (see below), whose sum is σ = 27357465096000. Its totient is φ = 2657612146176.

The previous prime is 10244042340029. The next prime is 10244042340031. The reversal of 10244042340030 is 3004324044201.

It is a happy number.

10244042340030 is a `hidden beast` number, since 1 + 0 + 24 + 404 + 234 + 0 + 0 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10244042340029) and next prime (10244042340031).

It is a junction number, because it is equal to n+sod(n) for n = 10244042339976 and 10244042340003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244042340031) 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, 29963191 + ... + 30303149.

It is an arithmetic number, because the mean of its divisors is an integer number (284973594750).

Almost surely, 210244042340030 is an apocalyptic number.

10244042340030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10244042340030 is an abundant number, since it is smaller than the sum of its proper divisors (17113422755970).

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

10244042340030 is a wasteful number, since it uses less digits than its factorization.

10244042340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349058 (or 349055 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10244042340030 its reverse (3004324044201), we get a palindrome (13248366384231).

The spelling of 10244042340030 in words is "ten trillion, two hundred forty-four billion, forty-two million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 9049 18098 27147 45245 54294 81441 90490 135735 162882 271470 334813 339959 407205 669626 679918 814410 1004439 1019877 1674065 1699795 2008878 2039754 3013317 3059631 3348130 3399590 5022195 5099385 6026634 6119262 10044390 10198770 12578483 15066585 15298155 25156966 30133170 30596310 37735449 62892415 75470898 113206347 125784830 188677245 226412694 377354490 566031735 1132063470 3076288991 6152577982 9228866973 15381444955 18457733946 27686600919 30762889910 46144334865 55373201838 92288669730 113822692667 138433004595 227645385334 276866009190 341468078001 569113463335 682936156002 1024404234003 1138226926670 1707340390005 2048808468006 3414680780010 5122021170015 10244042340030