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1330234320331 = 71923823528383
BaseRepresentation
bin10011010110111000001…
…001001110010111001011
311201011120022120001200001
4103112320021032113023
5133243304441222311
62455033510023431
7165051306106030
oct23267011162713
94634508501601
101330234320331
1147317065a594
12195984947b77
1398595ba2107
1448552b8b387
15249083d74c1
hex135b824e5cb

1330234320331 has 32 divisors (see below), whose sum is σ = 1671891517440. Its totient is φ = 1031968089504.

The previous prime is 1330234320323. The next prime is 1330234320343.

1330234320331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1330234320331 - 23 = 1330234320323 is a prime.

It is a super-2 number, since 2×13302343203312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1330234320331.

It is not an unprimeable number, because it can be changed into a prime (1330234320431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253366 + ... + 2781748.

It is an arithmetic number, because the mean of its divisors is an integer number (52246609920).

Almost surely, 21330234320331 is an apocalyptic number.

1330234320331 is a deficient number, since it is larger than the sum of its proper divisors (341657197109).

1330234320331 is a wasteful number, since it uses less digits than its factorization.

1330234320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529255.

The product of its (nonzero) digits is 11664, while the sum is 28.

The spelling of 1330234320331 in words is "one trillion, three hundred thirty billion, two hundred thirty-four million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 19 23 133 161 437 823 3059 5761 15637 18929 109459 132503 359651 528383 2517557 3698681 10039277 12152809 70274939 85069663 230903371 434859209 1616323597 3044014463 8262324971 10001761807 57836274797 70012332649 190033474333 1330234320331