Search a number
-
+
13122122120020 = 2254772689192047
BaseRepresentation
bin1011111011110011101101…
…1011010111101101010100
31201110110111020211000011201
42332330323123113231110
53204443101230320040
643524115241242244
72523020263446544
oct276747333275524
951413436730151
1013122122120020
1141aa073931011
12157b1a4193384
137425457069b4
14335185135324
1517b50aac3a9a
hexbef3b6d7b54

13122122120020 has 48 divisors (see below), whose sum is σ = 28143297745920. Its totient is φ = 5137073790464.

The previous prime is 13122122120017. The next prime is 13122122120021. The reversal of 13122122120020 is 2002122122131.

It is a self number, because there is not a number n which added to its sum of digits gives 13122122120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122122120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68231637 + ... + 68423683.

It is an arithmetic number, because the mean of its divisors is an integer number (586318703040).

Almost surely, 213122122120020 is an apocalyptic number.

13122122120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122122120020 is an abundant number, since it is smaller than the sum of its proper divisors (15021175625900).

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

13122122120020 is a wasteful number, since it uses less digits than its factorization.

13122122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264792 (or 264790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13122122120020 its reverse (2002122122131), we get a palindrome (15124244242151).

The spelling of 13122122120020 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 72689 145378 192047 290756 363445 384094 726890 768188 960235 1453780 1920470 3416383 3840940 6832766 9026209 13665532 17081915 18052418 34163830 36104836 45131045 68327660 90262090 180524180 13959704383 27919408766 55838817532 69798521915 139597043830 279194087660 656106106001 1312212212002 2624424424004 3280530530005 6561061060010 13122122120020