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1313011300 = 225213130113
BaseRepresentation
bin100111001000010…
…1111011001100100
310101111122212220011
41032100233121210
510142112330200
6334142220004
744352261166
oct11620573144
93344585804
101313011300
11614184907
12307884604
1317c042383
14c654a936
157a4105ba
hex4e42f664

1313011300 has 18 divisors (see below), whose sum is σ = 2849234738. Its totient is φ = 525204480.

The previous prime is 1313011291. The next prime is 1313011309. The reversal of 1313011300 is 31103131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313011291) and next prime (1313011309).

It can be written as a sum of positive squares in 3 ways, for example, as 1557504 + 1311453796 = 1248^2 + 36214^2 .

It is not an unprimeable number, because it can be changed into a prime (1313011309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6564957 + ... + 6565156.

Almost surely, 21313011300 is an apocalyptic number.

1313011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313011300 is an abundant number, since it is smaller than the sum of its proper divisors (1536223438).

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

1313011300 is a wasteful number, since it uses less digits than its factorization.

1313011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130127 (or 13130120 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1313011300 is about 36235.4977887706. The cubic root of 1313011300 is about 1095.0219409989.

Adding to 1313011300 its reverse (31103131), we get a palindrome (1344114431).

The spelling of 1313011300 in words is "one billion, three hundred thirteen million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13130113 26260226 52520452 65650565 131301130 262602260 328252825 656505650 1313011300