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1320134031 = 34174167349
BaseRepresentation
bin100111010101111…
…1010010110001111
310102000001202110000
41032223322112033
510200423242111
6334555015343
744466645156
oct11653722617
93360052400
101320134031
116181aa267
1230a13a553
131806673c8
14c748259d
157ad6ac56
hex4eafa58f

1320134031 has 80 divisors (see below), whose sum is σ = 2177128800. Its totient is φ = 793774080.

The previous prime is 1320133957. The next prime is 1320134033. The reversal of 1320134031 is 1304310231.

1320134031 is a `hidden beast` number, since 1 + 320 + 1 + 340 + 3 + 1 = 666.

It is not a de Polignac number, because 1320134031 - 210 = 1320133007 is a prime.

It is a super-2 number, since 2×13201340312 = 3485507719608617922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320133995 and 1320134013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320134033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3782445 + ... + 3782793.

It is an arithmetic number, because the mean of its divisors is an integer number (27214110).

Almost surely, 21320134031 is an apocalyptic number.

1320134031 is a deficient number, since it is larger than the sum of its proper divisors (856994769).

1320134031 is a wasteful number, since it uses less digits than its factorization.

1320134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

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

The square root of 1320134031 is about 36333.6487432793. The cubic root of 1320134031 is about 1096.9984372152.

Adding to 1320134031 its reverse (1304310231), we get a palindrome (2624444262).

The spelling of 1320134031 in words is "one billion, three hundred twenty million, one hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 17 27 41 51 67 81 123 153 201 349 369 459 603 697 1047 1107 1139 1377 1809 2091 2747 3141 3321 3417 5427 5933 6273 8241 9423 10251 14309 17799 18819 23383 24723 28269 30753 42927 46699 53397 56457 70149 74169 92259 128781 140097 160191 210447 222507 243253 386343 397511 420291 480573 631341 729759 958703 1159029 1192533 1260873 1894023 2189277 2876109 3577599 3782619 6567831 8628327 10732797 16297951 19703493 25884981 32198391 48893853 77654943 146681559 440044677 1320134031