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1303325312 = 2731503653
BaseRepresentation
bin100110110101111…
…0010101010000000
310100211102210012212
41031223302222000
510132122402222
6333154441252
744204040152
oct11553625200
93324383185
101303325312
11609769663
12304593228
1317a030713
14c5148ad2
157964a6e2
hex4daf2a80

1303325312 has 64 divisors (see below), whose sum is σ = 2689666560. Its totient is φ = 628423680.

The previous prime is 1303325293. The next prime is 1303325327. The reversal of 1303325312 is 2135233031.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1995578 + ... + 1996230.

It is an arithmetic number, because the mean of its divisors is an integer number (42026040).

Almost surely, 21303325312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344833280).

1303325312 is an abundant number, since it is smaller than the sum of its proper divisors (1386341248).

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

1303325312 is an equidigital number, since it uses as much as digits as its factorization.

1303325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 1303325312 is about 36101.5970837856. The cubic root of 1303325312 is about 1092.3226604473.

Adding to 1303325312 its reverse (2135233031), we get a palindrome (3438558343).

The spelling of 1303325312 in words is "one billion, three hundred three million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 503 653 992 1006 1306 1984 2012 2612 3968 4024 5224 8048 10448 15593 16096 20243 20896 31186 32192 40486 41792 62372 64384 80972 83584 124744 161944 249488 323888 328459 498976 647776 656918 997952 1295552 1313836 1995904 2591104 2627672 5255344 10182229 10510688 20364458 21021376 40728916 42042752 81457832 162915664 325831328 651662656 1303325312