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1012332321 = 3271113373037
BaseRepresentation
bin111100010101101…
…111011100100001
32121112212210212200
4330111233130201
54033124113241
6244241443413
734041453120
oct7425573441
92545783780
101012332321
1147a487290
12243040569
13131967510
149863bab7
155dd1a4b6
hex3c56f721

1012332321 has 96 divisors (see below), whose sum is σ = 2017037568. Its totient is φ = 472158720.

The previous prime is 1012332313. The next prime is 1012332323. The reversal of 1012332321 is 1232332101.

1012332321 is a `hidden beast` number, since 1 + 0 + 12 + 332 + 321 = 666.

It is not a de Polignac number, because 1012332321 - 23 = 1012332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012332294 and 1012332303.

It is not an unprimeable number, because it can be changed into a prime (1012332323) 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 95 ways as a sum of consecutive naturals, for example, 331815 + ... + 334851.

It is an arithmetic number, because the mean of its divisors is an integer number (21010808).

Almost surely, 21012332321 is an apocalyptic number.

1012332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012332321 is a deficient number, since it is larger than the sum of its proper divisors (1004705247).

1012332321 is a wasteful number, since it uses less digits than its factorization.

1012332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3108 counting only the distinct ones).

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

The square root of 1012332321 is about 31817.1702230101. The cubic root of 1012332321 is about 1004.0939900394.

Adding to 1012332321 its reverse (1232332101), we get a palindrome (2244664422).

It can be divided in two parts, 1012 and 332321, that added together give a palindrome (333333).

The spelling of 1012332321 in words is "one billion, twelve million, three hundred thirty-two thousand, three hundred twenty-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 3037 3367 3663 4329 5291 8547 9009 9111 10101 15873 21259 25641 27333 30303 33407 37037 39481 47619 63777 100221 111111 112369 118443 191331 233849 276367 300663 333333 337107 355329 434291 701547 786583 829101 1011321 1236059 1302873 1460797 2104641 2359749 2487303 3040037 3708177 3908619 4382391 7079247 8652413 9120111 10225579 11124531 13147173 16068767 25957239 27360333 30676737 48206301 77871717 92030211 112481369 144618903 337444107 1012332321