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1213302321 = 34711474139
BaseRepresentation
bin100100001010001…
…1000011000110001
310010120001010220000
41020110120120301
54441101133241
6320221140213
742031620360
oct11024303061
93116033800
101213302321
11572971aa0
1229a3ba669
131644a118a
14b71d37d7
15717b6eb6
hex48518631

1213302321 has 80 divisors (see below), whose sum is σ = 2308331520. Its totient is φ = 616727520.

The previous prime is 1213302289. The next prime is 1213302347. The reversal of 1213302321 is 1232033121.

1213302321 is a `hidden beast` number, since 12 + 1 + 330 + 2 + 321 = 666.

It is not a de Polignac number, because 1213302321 - 25 = 1213302289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213302294 and 1213302303.

It is not an unprimeable number, because it can be changed into a prime (1213302421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291070 + ... + 295208.

It is an arithmetic number, because the mean of its divisors is an integer number (28854144).

Almost surely, 21213302321 is an apocalyptic number.

1213302321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213302321 is a deficient number, since it is larger than the sum of its proper divisors (1095029199).

1213302321 is a wasteful number, since it uses less digits than its factorization.

1213302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4207 counting only the distinct ones).

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

The square root of 1213302321 is about 34832.4894459182. The cubic root of 1213302321 is about 1066.5707668449.

Adding to 1213302321 its reverse (1232033121), we get a palindrome (2445335442).

The spelling of 1213302321 in words is "one billion, two hundred thirteen million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 47 63 77 81 99 141 189 231 297 329 423 517 567 693 891 987 1269 1551 2079 2961 3619 3807 4139 4653 6237 8883 10857 12417 13959 26649 28973 32571 37251 41877 45529 86919 97713 111753 136587 194533 260757 293139 318703 335259 409761 583599 782271 956109 1229283 1361731 1750797 2139863 2346813 2868327 3687849 4085193 5252391 6419589 8604981 12255579 14979041 15757173 19258767 25814943 36766737 44937123 57776301 110300211 134811369 173328903 404434107 1213302321