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1317525330 = 23511172310211
BaseRepresentation
bin100111010000111…
…1101011101010010
310101211011012222110
41032201331131102
510144241302310
6334423050150
744435531502
oct11641753522
93354135873
101317525330
11616788310
123092a0956
1317cc62bb4
14c6da3a02
157aa02d20
hex4e87d752

1317525330 has 128 divisors (see below), whose sum is σ = 3811608576. Its totient is φ = 287513600.

The previous prime is 1317525329. The next prime is 1317525331. The reversal of 1317525330 is 335257131.

It is an interprime number because it is at equal distance from previous prime (1317525329) and next prime (1317525331).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1317525331) 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 63 ways as a sum of consecutive naturals, for example, 123925 + ... + 134135.

It is an arithmetic number, because the mean of its divisors is an integer number (29778192).

Almost surely, 21317525330 is an apocalyptic number.

1317525330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317525330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905804288).

1317525330 is an abundant number, since it is smaller than the sum of its proper divisors (2494083246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1317525330 is a wasteful number, since it uses less digits than its factorization.

1317525330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1317525330 is about 36297.7317473145. The cubic root of 1317525330 is about 1096.2753722479.

The spelling of 1317525330 in words is "one billion, three hundred seventeen million, five hundred twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 115 138 165 170 187 230 253 255 330 345 374 391 506 510 561 690 759 782 935 1122 1173 1265 1518 1870 1955 2346 2530 2805 3795 3910 4301 5610 5865 7590 8602 10211 11730 12903 20422 21505 25806 30633 43010 51055 61266 64515 102110 112321 129030 153165 173587 224642 234853 306330 336963 347174 469706 520761 561605 673926 704559 867935 1041522 1123210 1174265 1409118 1684815 1735870 1909457 2348530 2583383 2603805 3369630 3522795 3818914 3992501 5166766 5207610 5728371 7045590 7750149 7985002 9547285 11456742 11977503 12916915 15500298 19094570 19962505 23955006 25833830 28641855 38750745 39925010 43917511 57283710 59887515 77501490 87835022 119775030 131752533 219587555 263505066 439175110 658762665 1317525330