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1313200304 = 241324710333
BaseRepresentation
bin100111001000101…
…1101100010110000
310101112000111011022
41032101131202300
510142134402204
6334150235012
744354006213
oct11621354260
93345014138
101313200304
116142a3909
12307955a68
1317c0aa400
14c659977a
157a44b5be
hex4e45d8b0

1313200304 has 60 divisors (see below), whose sum is σ = 2813989536. Its totient is φ = 593139456.

The previous prime is 1313200297. The next prime is 1313200307. The reversal of 1313200304 is 4030023131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1313200307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121922 + ... + 132254.

Almost surely, 21313200304 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 1313200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406994768).

1313200304 is an abundant number, since it is smaller than the sum of its proper divisors (1500789232).

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

1313200304 is a wasteful number, since it uses less digits than its factorization.

1313200304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1313200304 is about 36238.1056900054. The cubic root of 1313200304 is about 1095.0744801753.

Adding to 1313200304 its reverse (4030023131), we get a palindrome (5343223435).

The spelling of 1313200304 in words is "one billion, three hundred thirteen million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 169 188 208 338 376 611 676 752 1222 1352 2444 2704 4888 7943 9776 10333 15886 20666 31772 41332 63544 82664 127088 134329 165328 268658 485651 537316 971302 1074632 1746277 1942604 2149264 3492554 3885208 6313463 6985108 7770416 12626926 13970216 25253852 27940432 50507704 82075019 101015408 164150038 328300076 656600152 1313200304