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42111202300232 = 23131015843686131
BaseRepresentation
bin10011001001100110001110…
…10000010001000101001000
312112002210101002112000111212
421210303013100101011020
521004422220242101412
6225321341432312252
711604301564360532
oct1144630720210510
9175083332460455
1042111202300232
1112466295952a1a
124881524542688
131a660b9447190
14a5829baba852
154d0620634222
hex264cc7411148

42111202300232 has 64 divisors (see below), whose sum is σ = 85888960839360. Its totient is φ = 19240183008000.

The previous prime is 42111202300213. The next prime is 42111202300249. The reversal of 42111202300232 is 23200320211124.

It is a junction number, because it is equal to n+sod(n) for n = 42111202300198 and 42111202300207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61031807 + ... + 61717937.

It is an arithmetic number, because the mean of its divisors is an integer number (1342015013115).

Almost surely, 242111202300232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111202300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42944480419680).

42111202300232 is an abundant number, since it is smaller than the sum of its proper divisors (43777758539128).

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

42111202300232 is a wasteful number, since it uses less digits than its factorization.

42111202300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692094 (or 692090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 42111202300232 its reverse (23200320211124), we get a palindrome (65311522511356).

The spelling of 42111202300232 in words is "forty-two trillion, one hundred eleven billion, two hundred two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 5843 10504 11686 23372 46744 75959 151918 303836 590143 607672 686131 1180286 1372262 2360572 2744524 4721144 5489048 7671859 8919703 15343718 17839406 30687436 35678812 61374872 69299231 71357624 138598462 277196924 554393848 900890003 1801780006 3603560012 4009063433 7207120024 8018126866 16036253732 32072507464 52117824629 104235649258 208471298516 404915406733 416942597032 809830813466 1619661626932 3239323253864 5263900287529 10527800575058 21055601150116 42111202300232