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1301130144 = 25324517813
BaseRepresentation
bin100110110001101…
…1010101110100000
310100200022021000100
41031203122232200
510131042131034
6333035422400
744146265226
oct11543325640
93320267010
101301130144
116084aa376
123038b4a00
131797424c2
14c4b36b16
1579365099
hex4d8daba0

1301130144 has 36 divisors (see below), whose sum is σ = 3700089666. Its totient is φ = 433709952.

The previous prime is 1301130137. The next prime is 1301130199. The reversal of 1301130144 is 4410311031.

It can be written as a sum of positive squares in only one way, i.e., 1257411600 + 43718544 = 35460^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2258619 + ... + 2259194.

Almost surely, 21301130144 is an apocalyptic number.

It is an amenable number.

1301130144 is an abundant number, since it is smaller than the sum of its proper divisors (2398959522).

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

1301130144 is a wasteful number, since it uses less digits than its factorization.

1301130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517829 (or 4517818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1301130144 is about 36071.1816274433. The cubic root of 1301130144 is about 1091.7090558474.

Adding to 1301130144 its reverse (4410311031), we get a palindrome (5711441175).

The spelling of 1301130144 in words is "one billion, three hundred one million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4517813 9035626 13553439 18071252 27106878 36142504 40660317 54213756 72285008 81320634 108427512 144570016 162641268 216855024 325282536 433710048 650565072 1301130144