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1320132331 = 717191135167
BaseRepresentation
bin100111010101111…
…1001111011101011
310102000001200010001
41032223321323223
510200423213311
6334555003431
744466640210
oct11653717353
93360050101
101320132331
116181a8a61
1230a139577
131806666bb
14c7481b07
157ad6a4c1
hex4eaf9eeb

1320132331 has 32 divisors (see below), whose sum is σ = 1696757760. Its totient is φ = 999806976.

The previous prime is 1320132277. The next prime is 1320132349. The reversal of 1320132331 is 1332310231.

It is not a de Polignac number, because 1320132331 - 215 = 1320099563 is a prime.

It is a super-2 number, since 2×13201323312 = 3485498742702987122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1320132299 and 1320132308.

It is not an unprimeable number, because it can be changed into a prime (1320132371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252910 + ... + 258076.

It is an arithmetic number, because the mean of its divisors is an integer number (53023680).

Almost surely, 21320132331 is an apocalyptic number.

1320132331 is a deficient number, since it is larger than the sum of its proper divisors (376625429).

1320132331 is a wasteful number, since it uses less digits than its factorization.

1320132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1320132331 is about 36333.6253489794. The cubic root of 1320132331 is about 1096.9979663291.

Adding to 1320132331 its reverse (1332310231), we get a palindrome (2652442562).

The spelling of 1320132331 in words is "one billion, three hundred twenty million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 17 19 113 119 133 323 791 1921 2147 2261 5167 13447 15029 36169 36499 87839 98173 255493 583871 614873 687211 1668941 4087097 9925807 11093549 11682587 69480649 77654843 188590333 1320132331