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1320012000133 = 29104963176869
BaseRepresentation
bin10011001101010110110…
…110001010101110000101
311200012011220110101120021
4103031112312022232011
5133111341033001013
62450223302135141
7164240061605161
oct23152666125605
94605156411507
101320012000133
114698a53a8082
121939b14214b1
1397627114138
1447c632b5ca1
152450ac61a8d
hex13356d8ab85

1320012000133 has 16 divisors (see below), whose sum is σ = 1367246790000. Its totient is φ = 1272892483072.

The previous prime is 1320012000127. The next prime is 1320012000221. The reversal of 1320012000133 is 3310002100231.

It can be written as a sum of positive squares in 8 ways, for example, as 5373183204 + 1314638816929 = 73302^2 + 1146577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1320012000133 - 213 = 1320011991941 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 (1320012100133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192166023 + ... + 192172891.

It is an arithmetic number, because the mean of its divisors is an integer number (85452924375).

Almost surely, 21320012000133 is an apocalyptic number.

It is an amenable number.

1320012000133 is a deficient number, since it is larger than the sum of its proper divisors (47234789867).

1320012000133 is a wasteful number, since it uses less digits than its factorization.

1320012000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264.

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

Adding to 1320012000133 its reverse (3310002100231), we get a palindrome (4630014100364).

The spelling of 1320012000133 in words is "one trillion, three hundred twenty billion, twelve million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 29 1049 6317 6869 30421 183193 199201 6626533 7205581 43391473 192169457 208961849 1258352717 45517655177 1320012000133