Search a number
-
+
121002320320 = 265778768639
BaseRepresentation
bin111000010110001001…
…1001110000111000000
3102120022212012202111021
41300230103032013000
53440303043222240
6131330535355224
711512356516040
oct1605423160700
9376285182437
10121002320320
1147353723222
121b54b522b14
13b544a5770b
145bdc4d9720
153232e9454a
hex1c2c4ce1c0

121002320320 has 112 divisors (see below), whose sum is σ = 329722398720. Its totient is φ = 41433191424.

The previous prime is 121002320311. The next prime is 121002320321. The reversal of 121002320320 is 23023200121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121002320294 and 121002320303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002320321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728561 + ... + 1797199.

Almost surely, 2121002320320 is an apocalyptic number.

121002320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164861199360).

121002320320 is an abundant number, since it is smaller than the sum of its proper divisors (208720078400).

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

121002320320 is an equidigital number, since it uses as much as digits as its factorization.

121002320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69450 (or 69440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 121002320320 its reverse (23023200121), we get a palindrome (144025520441).

The spelling of 121002320320 in words is "one hundred twenty-one billion, two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 787 1120 1574 2240 3148 3935 5509 6296 7870 11018 12592 15740 22036 25184 27545 31480 44072 50368 55090 62960 68639 88144 110180 125920 137278 176288 220360 251840 274556 343195 352576 440720 480473 549112 686390 881440 960946 1098224 1372780 1762880 1921892 2196448 2402365 2745560 3843784 4392896 4804730 5491120 7687568 9609460 10982240 15375136 19218920 21964480 30750272 38437840 54018893 76875680 108037786 153751360 216075572 270094465 378132251 432151144 540188930 756264502 864302288 1080377860 1512529004 1728604576 1890661255 2160755720 3025058008 3457209152 3781322510 4321511440 6050116016 7562645020 8643022880 12100232032 15125290040 17286045760 24200464064 30250580080 60501160160 121002320320