Search a number
-
+
1321304013200 = 24525391967819
BaseRepresentation
bin10011001110100011110…
…110110011100110010000
311200022111221121110022002
4103032203312303212100
5133122012311410300
62450555414333132
7164314100542133
oct23164366634620
94608457543262
101321304013200
1146a3a873a676
121940b205a1a8
13977a19b3902
1447d46b1821a
15245843c55d5
hex133a3db3990

1321304013200 has 120 divisors (see below), whose sum is σ = 3237894993600. Its totient is φ = 517977607680.

The previous prime is 1321304013157. The next prime is 1321304013241. The reversal of 1321304013200 is 23104031231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19448891 + ... + 19516709.

It is an arithmetic number, because the mean of its divisors is an integer number (26982458280).

Almost surely, 21321304013200 is an apocalyptic number.

1321304013200 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 1321304013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618947496800).

1321304013200 is an abundant number, since it is smaller than the sum of its proper divisors (1916590980400).

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

1321304013200 is a wasteful number, since it uses less digits than its factorization.

1321304013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68809 (or 68798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1321304013200 its reverse (23104031231), we get a palindrome (1344408044431).

The spelling of 1321304013200 in words is "one trillion, three hundred twenty-one billion, three hundred four million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 919 1060 1325 1838 2120 2650 3676 4240 4595 5300 7352 9190 10600 14704 18380 21200 22975 36760 45950 48707 67819 73520 91900 97414 135638 183800 194828 243535 271276 339095 367600 389656 487070 542552 678190 779312 974140 1085104 1217675 1356380 1695475 1948280 2435350 2712760 3390950 3594407 3896560 4870700 5425520 6781900 7188814 9741400 13563800 14377628 17972035 19482800 27127600 28755256 35944070 57510512 62325661 71888140 89860175 124651322 143776280 179720350 249302644 287552560 311628305 359440700 498605288 623256610 718881400 997210576 1246513220 1437762800 1558141525 2493026440 3116283050 3303260033 4986052880 6232566100 6606520066 12465132200 13213040132 16516300165 24930264400 26426080264 33032600330 52852160528 66065200660 82581500825 132130401320 165163001650 264260802640 330326003300 660652006600 1321304013200