Search a number
-
+
13300221000 = 2335311403037
BaseRepresentation
bin11000110001100000…
…10100010001001000
31021022220201020020210
430120300110101020
5204214324033000
610035433521120
7650410004343
oct143060242110
937286636223
1013300221000
11570569a990
1226b22731a0
13133c649271
1490259945a
1552c9a6350
hex318c14448

13300221000 has 128 divisors (see below), whose sum is σ = 45269228160. Its totient is φ = 3224288000.

The previous prime is 13300220993. The next prime is 13300221001. The reversal of 13300221000 is 12200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13300221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168519 + ... + 234518.

It is an arithmetic number, because the mean of its divisors is an integer number (353665845).

Almost surely, 213300221000 is an apocalyptic number.

13300221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300221000 is an abundant number, since it is smaller than the sum of its proper divisors (31969007160).

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

13300221000 is a wasteful number, since it uses less digits than its factorization.

13300221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403072 (or 403058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13300221000 its reverse (12200331), we get a palindrome (13312421331).

The spelling of 13300221000 in words is "thirteen billion, three hundred million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 403037 806074 1209111 1612148 2015185 2418222 3224296 4030370 4433407 4836444 6045555 8060740 8866814 9672888 10075925 12091110 13300221 16121480 17733628 20151850 22167035 24182220 26600442 30227775 35467256 40303700 44334070 48364440 50379625 53200884 60455550 66501105 80607400 88668140 100759250 106401768 110835175 120911100 133002210 151138875 177336280 201518500 221670350 241822200 266004420 302277750 332505525 403037000 443340700 532008840 554175875 604555500 665011050 886681400 1108351750 1209111000 1330022100 1662527625 2216703500 2660044200 3325055250 4433407000 6650110500 13300221000