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1322310031 = 72171587407
BaseRepresentation
bin100111011010000…
…1101100110001111
310102011011022100121
41032310031212033
510202002410111
6335113405411
744524310200
oct11664154617
93364138317
101322310031
11619456109
1230aa09867
13180c49993
14c788b5a7
157b14a871
hex4ed0d98f

1322310031 has 12 divisors (see below), whose sum is σ = 1628680608. Its totient is φ = 1066736832.

The previous prime is 1322310029. The next prime is 1322310047. The reversal of 1322310031 is 1300132231.

It is not a de Polignac number, because 1322310031 - 21 = 1322310029 is a prime.

It is a super-2 number, since 2×13223100312 = 3497007636166441922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322309987 and 1322310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322310331) 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 11 ways as a sum of consecutive naturals, for example, 792871 + ... + 794536.

It is an arithmetic number, because the mean of its divisors is an integer number (135723384).

Almost surely, 21322310031 is an apocalyptic number.

1322310031 is a deficient number, since it is larger than the sum of its proper divisors (306370577).

1322310031 is a wasteful number, since it uses less digits than its factorization.

1322310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587438 (or 1587431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1322310031 is about 36363.5811080262. The cubic root of 1322310031 is about 1097.6008402525.

Adding to 1322310031 its reverse (1300132231), we get a palindrome (2622442262).

The spelling of 1322310031 in words is "one billion, three hundred twenty-two million, three hundred ten thousand, thirty-one".

Divisors: 1 7 17 49 119 833 1587407 11111849 26985919 77782943 188901433 1322310031