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1130121320022 = 23453322940763
BaseRepresentation
bin10000011100100000011…
…110101101011001010110
311000001001002122100220000
4100130200132231121112
5122003442024220042
62223100501552130
7144435313503042
oct20344036553126
94001032570800
101130121320022
113a6311028602
12163037415646
138275433a066
143c9aba93022
151e5e509174c
hex107207ad656

1130121320022 has 80 divisors (see below), whose sum is σ = 2580950647440. Its totient is φ = 369475898688.

The previous prime is 1130121319979. The next prime is 1130121320047. The reversal of 1130121320022 is 2200231210311.

1130121320022 is a `hidden beast` number, since 1 + 1 + 301 + 21 + 320 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130121319977 and 1130121320004.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 27703813 + ... + 27744575.

It is an arithmetic number, because the mean of its divisors is an integer number (32261883093).

Almost surely, 21130121320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130121320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290475323720).

1130121320022 is an abundant number, since it is smaller than the sum of its proper divisors (1450829327418).

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

1130121320022 is a wasteful number, since it uses less digits than its factorization.

1130121320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44059 (or 44050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130121320022 its reverse (2200231210311), we get a palindrome (3330352530333).

The spelling of 1130121320022 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 3229 4293 6458 8586 9687 19374 29061 40763 58122 81526 87183 122289 171137 174366 244578 261549 342274 366867 513411 523098 733734 1026822 1100601 1540233 2160439 2201202 3080466 3301803 4320878 4620699 6481317 6603606 9241398 12962634 13862097 19443951 27724194 38887902 58331853 116663706 131623727 174995559 263247454 349991118 394871181 789742362 1184613543 2369227086 3553840629 6976057531 7107681258 10661521887 13952115062 20928172593 21323043774 41856345186 62784517779 125569035558 188353553337 376707106674 565060660011 1130121320022