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1003131101 = 7685720899
BaseRepresentation
bin111011110010101…
…001000011011101
32120220120100011202
4323302221003131
54023300143401
6243312325245
733600321320
oct7362510335
92526510152
101003131101
11475272275
1223bb43825
1312ca953cb
14973247b7
155d0ee06b
hex3bca90dd

1003131101 has 8 divisors (see below), whose sum is σ = 1146657600. Its totient is φ = 859660128.

The previous prime is 1003131089. The next prime is 1003131119. The reversal of 1003131101 is 1011313001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1003131101 - 222 = 998936797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003131191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37550 + ... + 58448.

It is an arithmetic number, because the mean of its divisors is an integer number (143332200).

Almost surely, 21003131101 is an apocalyptic number.

It is an amenable number.

1003131101 is a deficient number, since it is larger than the sum of its proper divisors (143526499).

1003131101 is an equidigital number, since it uses as much as digits as its factorization.

1003131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27763.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1003131101 is about 31672.2449630587. The cubic root of 1003131101 is about 1001.0426129139.

Adding to 1003131101 its reverse (1011313001), we get a palindrome (2014444102).

The spelling of 1003131101 in words is "one billion, three million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 7 6857 20899 47999 146293 143304443 1003131101