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1332332001 = 3272111337571
BaseRepresentation
bin100111101101001…
…1100010111100001
310102212000110220200
41033122130113201
510212034111001
6340112255413
745005430600
oct11732342741
93385013820
101332332001
11624080830
12312241569
13183048540
14c8d39a37
157be7a086
hex4f69c5e1

1332332001 has 144 divisors (see below), whose sum is σ = 2705871168. Its totient is φ = 620524800.

The previous prime is 1332331991. The next prime is 1332332011. The reversal of 1332332001 is 1002332331.

1332332001 is a `hidden beast` number, since 1 + 332 + 332 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1332331991) and next prime (1332332011).

It is not a de Polignac number, because 1332332001 - 29 = 1332331489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1332332011) 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 143 ways as a sum of consecutive naturals, for example, 2333046 + ... + 2333616.

It is an arithmetic number, because the mean of its divisors is an integer number (18790772).

Almost surely, 21332332001 is an apocalyptic number.

1332332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1332332001 is an abundant number, since it is smaller than the sum of its proper divisors (1373539167).

1332332001 is a wasteful number, since it uses less digits than its factorization.

1332332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1332332001 is about 36501.1232840854. The cubic root of 1332332001 is about 1100.3668200861.

Adding to 1332332001 its reverse (1002332331), we get a palindrome (2334664332).

It can be divided in two parts, 1332 and 332001, that added together give a palindrome (333333).

The spelling of 1332332001 in words is "one billion, three hundred thirty-two million, three hundred thirty-two thousand, one".

Divisors: 1 3 7 9 11 13 21 33 37 39 49 63 77 91 99 111 117 143 147 231 259 273 333 407 429 441 481 539 571 637 693 777 819 1001 1221 1287 1443 1617 1713 1813 1911 2331 2849 3003 3367 3663 3997 4329 4851 5139 5291 5439 5733 6281 7007 7423 8547 9009 10101 11991 15873 16317 18843 19943 21021 21127 22269 23569 25641 27979 30303 35973 37037 43967 47619 51961 56529 59829 63063 63381 66807 70707 81653 83937 111111 131901 147889 155883 179487 190143 212121 232397 244959 251811 259259 274651 307769 333333 363727 395703 443667 467649 571571 697191 734877 777777 823953 923307 1035223 1091181 1331001 1626779 1714713 1922557 2091573 2333331 2471859 2769921 3021161 3105669 3273543 4000997 4880337 5144139 5767671 9063483 9317007 11387453 12002991 13457899 14641011 17303013 21148127 27190449 34162359 36008973 40373697 63444381 102487077 121121091 148036889 190333143 444110667 1332332001