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1303683641 = 131731372139
BaseRepresentation
bin100110110110100…
…1010001000111001
310100212002222202022
41031231022020321
510132220334031
6333210244225
744210061641
oct11555121071
93325088668
101303683641
116099938a7
12304726675
1317a127850
14c51dd521
15796bb97b
hex4db4a239

1303683641 has 48 divisors (see below), whose sum is σ = 1588446720. Its totient is φ = 1058780160.

The previous prime is 1303683637. The next prime is 1303683653. The reversal of 1303683641 is 1463863031.

It is not a de Polignac number, because 1303683641 - 22 = 1303683637 is a prime.

It is a super-2 number, since 2×13036836412 = 3399182071622033762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303683691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9378950 + ... + 9379088.

It is an arithmetic number, because the mean of its divisors is an integer number (33092640).

Almost surely, 21303683641 is an apocalyptic number.

It is an amenable number.

1303683641 is a deficient number, since it is larger than the sum of its proper divisors (284763079).

1303683641 is a wasteful number, since it uses less digits than its factorization.

1303683641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1303683641 is about 36106.5595287061. The cubic root of 1303683641 is about 1092.4227569767.

The spelling of 1303683641 in words is "one billion, three hundred three million, six hundred eighty-three thousand, six hundred forty-one".

Divisors: 1 13 17 31 37 139 221 403 481 527 629 1147 1369 1807 2363 4309 5143 6851 8177 14911 17797 19499 23273 30719 42439 56017 66859 73253 87431 159433 190291 253487 302549 551707 721463 952289 1136603 2072629 2473783 2710361 3234947 5899021 9379019 35234693 42054311 76687273 100283357 1303683641