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1001003213 = 7220428637
BaseRepresentation
bin111011101010100…
…001100011001101
32120202120020021002
4323222201203031
54022224100323
6243154550045
733543246500
oct7352414315
92522506232
101001003213
11474049591
1223b298325
1312c4cb9c2
1496d2d137
155cd2d828
hex3baa18cd

1001003213 has 6 divisors (see below), whose sum is σ = 1164432366. Its totient is φ = 858002712.

The previous prime is 1001003167. The next prime is 1001003261. The reversal of 1001003213 is 3123001001.

It can be written as a sum of positive squares in only one way, i.e., 998433604 + 2569609 = 31598^2 + 1603^2 .

It is not a de Polignac number, because 1001003213 - 28 = 1001002957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001003194 and 1001003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001003413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10214270 + ... + 10214367.

It is an arithmetic number, because the mean of its divisors is an integer number (194072061).

Almost surely, 21001003213 is an apocalyptic number.

It is an amenable number.

1001003213 is a deficient number, since it is larger than the sum of its proper divisors (163429153).

1001003213 is an equidigital number, since it uses as much as digits as its factorization.

1001003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428651 (or 20428644 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1001003213 is about 31638.6348156807. The cubic root of 1001003213 is about 1000.3342925694.

Adding to 1001003213 its reverse (3123001001), we get a palindrome (4124004214).

The spelling of 1001003213 in words is "one billion, one million, three thousand, two hundred thirteen".

Divisors: 1 7 49 20428637 143000459 1001003213