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1330031331323 = 197916722212389
BaseRepresentation
bin10011010110101100000…
…010111000011111111011
311201011001011121011002122
4103112230002320133323
5133242401010100243
62455001415151455
7165043262532242
oct23265402703773
94634034534078
101330031331323
11473077015982
1219592897558b
1398562b0c486
1448533c2b959
15248e568c668
hex135ac0b87fb

1330031331323 has 32 divisors (see below), whose sum is σ = 1427483904000. Its totient is φ = 1235556167040.

The previous prime is 1330031331263. The next prime is 1330031331359. The reversal of 1330031331323 is 3231331300331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1330031331323 - 212 = 1330031327227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330031331292 and 1330031331301.

It is not an unprimeable number, because it can be changed into a prime (1330031330323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556730213 + ... + 556732601.

It is an arithmetic number, because the mean of its divisors is an integer number (44608872000).

Almost surely, 21330031331323 is an apocalyptic number.

1330031331323 is a deficient number, since it is larger than the sum of its proper divisors (97452572677).

1330031331323 is a wasteful number, since it uses less digits than its factorization.

1330031331323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1330031331323 its reverse (3231331300331), we get a palindrome (4561362631654).

The spelling of 1330031331323 in words is "one trillion, three hundred thirty billion, thirty-one million, three hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 19 79 167 1501 2221 2389 3173 13193 42199 45391 175459 188731 250667 370907 398963 3333721 3585889 5305969 7047233 7580297 29301653 31518077 100813411 419171551 556731407 598843463 886096823 7964259469 16835839637 70001649017 1330031331323