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120013444310022 = 23222336721814213
BaseRepresentation
bin11011010010011011001110…
…101101110110010000000110
3120201221011200021121202011200
4123102123032231312100012
5111212300013220410042
61103125225403043330
734164454013012244
oct3322331655662006
9521834607552150
10120013444310022
113527046362932a
12115634ab810546
1351c72b08854c3
14218c978815794
15dd1c59abec4c
hex6d26ceb76406

120013444310022 has 48 divisors (see below), whose sum is σ = 261202613013888. Its totient is φ = 39823955700480.

The previous prime is 120013444309973. The next prime is 120013444310101. The reversal of 120013444310022 is 220013444310021.

120013444310022 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 344 + 4 + 310 + 0 + 2 + 2 = 666.

120013444310022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146990988 + ... + 147805200.

It is an arithmetic number, because the mean of its divisors is an integer number (5441721104456).

Almost surely, 2120013444310022 is an apocalyptic number.

120013444310022 is an abundant number, since it is smaller than the sum of its proper divisors (141189168703866).

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

120013444310022 is a wasteful number, since it uses less digits than its factorization.

120013444310022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851165 (or 851162 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120013444310022 its reverse (220013444310021), we get a palindrome (340026888620043).

Subtracting 120013444310022 from its reverse (220013444310021), we obtain a palindrome (99999999999999).

The spelling of 120013444310022 in words is "one hundred twenty trillion, thirteen billion, four hundred forty-four million, three hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 4014 36721 73442 110163 220326 330489 660978 814213 1628426 2442639 4885278 7327917 8188783 14655834 16377566 24566349 49132698 73699047 147398094 181569499 363138998 544708497 1089416994 1634125491 3268250982 29898715573 59797431146 89696146719 179392293438 269088440157 538176880314 6667413572779 13334827145558 20002240718337 40004481436674 60006722155011 120013444310022