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1303312293 = 321719014481
BaseRepresentation
bin100110110101110…
…1111011110100101
310100211102010100200
41031223233132211
510132121443133
6333154301113
744203654203
oct11553573645
93324363320
101303312293
1160975a8a8
12304587799
1317a02780a
14c5144073
1579646913
hex4daef7a5

1303312293 has 24 divisors (see below), whose sum is σ = 1994794776. Its totient is φ = 817152000.

The previous prime is 1303312291. The next prime is 1303312313. The reversal of 1303312293 is 3922133031.

It can be written as a sum of positive squares in 4 ways, for example, as 242051364 + 1061260929 = 15558^2 + 32577^2 .

It is not a de Polignac number, because 1303312293 - 21 = 1303312291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303312291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288613 + ... + 293093.

It is an arithmetic number, because the mean of its divisors is an integer number (83116449).

Almost surely, 21303312293 is an apocalyptic number.

It is an amenable number.

1303312293 is a deficient number, since it is larger than the sum of its proper divisors (691482483).

1303312293 is a wasteful number, since it uses less digits than its factorization.

1303312293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1303312293 is about 36101.4167727528. The cubic root of 1303312293 is about 1092.3190233415.

The spelling of 1303312293 in words is "one billion, three hundred three million, three hundred twelve thousand, two hundred ninety-three".

Divisors: 1 3 9 17 51 153 1901 4481 5703 13443 17109 32317 40329 76177 96951 228531 290853 685593 8518381 25555143 76665429 144812477 434437431 1303312293