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12330330233333 = 725691129391717
BaseRepresentation
bin1011001101101110000011…
…1101000001100111110101
31121122202201220200121212212
42303123200331001213311
53104010004014431313
642120250413223205
72411560035453200
oct263334075014765
947582656617785
1012330330233333
113a24299a69342
12147184a791b05
136b598c138608
14308b10d6c937
15165b181da3a8
hexb36e0f419f5

12330330233333 has 24 divisors (see below), whose sum is σ = 14381417136600. Its totient is φ = 10540908338688.

The previous prime is 12330330233317. The next prime is 12330330233369. The reversal of 12330330233333 is 33333203303321.

It can be written as a sum of positive squares in 4 ways, for example, as 5687874724 + 12324642358609 = 75418^2 + 3510647^2 .

It is not a de Polignac number, because 12330330233333 - 24 = 12330330233317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12330330233333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330330233633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31281791 + ... + 31673507.

It is an arithmetic number, because the mean of its divisors is an integer number (599225714025).

Almost surely, 212330330233333 is an apocalyptic number.

It is an amenable number.

12330330233333 is a deficient number, since it is larger than the sum of its proper divisors (2051086903267).

12330330233333 is a wasteful number, since it uses less digits than its factorization.

12330330233333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393429 (or 393422 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 32.

Adding to 12330330233333 its reverse (33333203303321), we get a palindrome (45663533536654).

The spelling of 12330330233333 in words is "twelve trillion, three hundred thirty billion, three hundred thirty million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 49 569 1129 3983 7903 27881 55321 391717 642401 2742019 4496807 19194133 31477649 222886973 442248493 1560208811 3095739451 10921461677 21670176157 251639392517 1761475747619 12330330233333