Search a number
-
+
1310112321220 = 2251759181360827
BaseRepresentation
bin10011000100001000110…
…001111000111011000100
311122020121222110121002201
4103010020301320323010
5132431102223234340
62441505101444244
7163436542663423
oct23041061707304
94566558417081
101310112321220
1146568528385a
12191aa9b70684
139670a150671
14475a45c92ba
152412babd79a
hex13108c78ec4

1310112321220 has 96 divisors (see below), whose sum is σ = 2978822770560. Its totient is φ = 482179000320.

The previous prime is 1310112321209. The next prime is 1310112321227. The reversal of 1310112321220 is 221232110131.

It is not an unprimeable number, because it can be changed into a prime (1310112321227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3450447 + ... + 3811273.

It is an arithmetic number, because the mean of its divisors is an integer number (31029403860).

Almost surely, 21310112321220 is an apocalyptic number.

1310112321220 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 1310112321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489411385280).

1310112321220 is an abundant number, since it is smaller than the sum of its proper divisors (1668710449340).

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

1310112321220 is a wasteful number, since it uses less digits than its factorization.

1310112321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361093 (or 361091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1310112321220 its reverse (221232110131), we get a palindrome (1531344431351).

The spelling of 1310112321220 in words is "one trillion, three hundred ten billion, one hundred twelve million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 181 236 295 340 362 590 724 905 1003 1180 1810 2006 3077 3620 4012 5015 6154 10030 10679 12308 15385 20060 21358 30770 42716 53395 61540 106790 181543 213580 360827 363086 721654 726172 907715 1443308 1804135 1815430 3608270 3630860 6134059 7216540 12268118 21288793 24536236 30670295 42577586 61340590 65309687 85155172 106443965 122681180 130619374 212887930 261238748 326548435 361909481 425775860 653096870 723818962 1110264679 1306193740 1447637924 1809547405 2220529358 3619094810 3853271533 4441058716 5551323395 7238189620 7706543066 11102646790 15413086132 19266357665 22205293580 38532715330 65505616061 77065430660 131011232122 262022464244 327528080305 655056160610 1310112321220