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1131300001 = 13313278029
BaseRepresentation
bin100001101101110…
…0100010010100001
32220211201222212001
41003123210102201
54304103100001
6304131404001
740014614506
oct10333442241
92824658761
101131300001
11530653487
12276a53601
131504bc5b0
14aa3694ad
15694ba001
hex436e44a1

1131300001 has 8 divisors (see below), whose sum is σ = 1222219880. Its totient is φ = 1040936832.

The previous prime is 1131299989. The next prime is 1131300007. The reversal of 1131300001 is 1000031311.

It can be written as a sum of positive squares in 4 ways, for example, as 142826401 + 988473600 = 11951^2 + 31440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1131300001 - 219 = 1130775713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134946 + ... + 143083.

It is an arithmetic number, because the mean of its divisors is an integer number (152777485).

Almost surely, 21131300001 is an apocalyptic number.

It is an amenable number.

1131300001 is a deficient number, since it is larger than the sum of its proper divisors (90919879).

1131300001 is a wasteful number, since it uses less digits than its factorization.

1131300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278355.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1131300001 is about 33634.8034184831. The cubic root of 1131300001 is about 1041.9797106655.

Adding to 1131300001 its reverse (1000031311), we get a palindrome (2131331312).

The spelling of 1131300001 in words is "one billion, one hundred thirty-one million, three hundred thousand, one".

Divisors: 1 13 313 4069 278029 3614377 87023077 1131300001