Search a number
-
+
12332321001 = 32711133736997
BaseRepresentation
bin10110111110001000…
…00100100011101001
31011211110102211001200
423133010010203221
5200224033233001
65355420234413
7614414666430
oct133704044351
934743384050
1012332321001
115259301330
12248209ba09
131216c6ab80
1484dc06117
154c2a16086
hex2df1048e9

12332321001 has 96 divisors (see below), whose sum is σ = 24564304128. Its totient is φ = 5753617920.

The previous prime is 12332320969. The next prime is 12332321011. The reversal of 12332321001 is 10012323321.

12332321001 is a `hidden beast` number, since 12 + 332 + 321 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 12332321001 - 25 = 12332320969 is a prime.

It is a super-2 number, since 2×123323210012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12332321011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314835 + ... + 351831.

It is an arithmetic number, because the mean of its divisors is an integer number (255878168).

Almost surely, 212332321001 is an apocalyptic number.

12332321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12332321001 is a deficient number, since it is larger than the sum of its proper divisors (12231983127).

12332321001 is a wasteful number, since it uses less digits than its factorization.

12332321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37071 (or 37068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12332321001 its reverse (10012323321), we get a palindrome (22344644322).

It can be divided in two parts, 12332 and 321001, that added together give a palindrome (333333).

The spelling of 12332321001 in words is "twelve billion, three hundred thirty-two million, three hundred twenty-one thousand, one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 36997 37037 47619 110991 111111 258979 332973 333333 406967 480961 776937 1220901 1368889 1442883 2330811 2848769 3366727 3662703 4106667 4328649 5290571 8546307 9582223 10100181 12320001 15057779 15871713 17795557 25638921 28746669 30300543 37033997 45173337 47615139 53386671 86240007 105404453 111101991 124568899 135520011 160160013 195751127 316213359 333305973 373706697 587253381 948640077 1121120091 1370257889 1761760143 4110773667 12332321001