Base | Representation |
---|---|
bin | 100111000010101… |
… | …0000001110000000 |
3 | 10101021222220011112 |
4 | 1032011100032000 |
5 | 10140330000000 |
6 | 333553502452 |
7 | 44314546661 |
oct | 11605201600 |
9 | 3337886145 |
10 | 1310000000 |
11 | 612508431 |
12 | 306871a28 |
13 | 17b52983a |
14 | c5da5368 |
15 | 7a018235 |
hex | 4e150380 |
1310000000 has 128 divisors (see below), whose sum is σ = 3287100960. Its totient is φ = 520000000.
The previous prime is 1309999987. The next prime is 1310000017. The reversal of 1310000000 is 131.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×13100000002 = 3432200000000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (5).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999935 + ... + 10000065.
Almost surely, 21310000000 is an apocalyptic number.
1310000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643550480).
1310000000 is an abundant number, since it is smaller than the sum of its proper divisors (1977100960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1310000000 is an frugal number, since it uses more digits than its factorization.
1310000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 180 (or 138 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 5.
The square root of 1310000000 is about 36193.9221417077. The cubic root of 1310000000 is about 1094.1841813635.
Adding to 1310000000 its reverse (131), we get a palindrome (1310000131).
1310000000 divided by its reverse (131) gives a 7-th power (10000000 = 107).
The spelling of 1310000000 in words is "one billion, three hundred ten million", and thus it is an aban number.
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