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1312562500 = 225621001
BaseRepresentation
bin100111000111100…
…0001110101000100
310101110211002020221
41032033001311010
510142004000000
6334124434124
744345411554
oct11617016504
93343732227
101312562500
116139a86a7
123076a8944
1317bc16002
14c6471164
157a37261a
hex4e3c1d44

1312562500 has 42 divisors (see below), whose sum is σ = 2871330434. Its totient is φ = 525000000.

The previous prime is 1312562497. The next prime is 1312562507. The reversal of 1312562500 is 52652131.

It can be written as a sum of positive squares in 7 ways, for example, as 1268499456 + 44063044 = 35616^2 + 6638^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1312562507) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 52000 + ... + 73000.

Almost surely, 21312562500 is an apocalyptic number.

1312562500 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 1312562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435665217).

1312562500 is an abundant number, since it is smaller than the sum of its proper divisors (1558767934).

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

1312562500 is an frugal number, since it uses more digits than its factorization.

1312562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21035 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1312562500 is about 36229.3044371542. The cubic root of 1312562500 is about 1094.8971637403.

It can be divided in two parts, 13125 and 62500, that added together give a square (75625 = 2752).

The spelling of 1312562500 in words is "one billion, three hundred twelve million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 21001 31250 42002 62500 84004 105005 210010 420020 525025 1050050 2100100 2625125 5250250 10500500 13125625 26251250 52502500 65628125 131256250 262512500 328140625 656281250 1312562500