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13003020333 = 3217100984229
BaseRepresentation
bin11000001110000101…
…00101100000101101
31020120012110212120200
430013002211200231
5203112233122313
65550135504113
7640140564162
oct140702454055
936505425520
1013003020333
1155729586a6
12262a828039
1312c2bbb694
148b4d14069
1551184bb73
hex3070a582d

13003020333 has 24 divisors (see below), whose sum is σ = 19906918200. Its totient is φ = 8150575104.

The previous prime is 13003020293. The next prime is 13003020347. The reversal of 13003020333 is 33302030031.

13003020333 is a `hidden beast` number, since 1 + 30 + 0 + 302 + 0 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 408120804 + 12594899529 = 20202^2 + 112227^2 .

It is not a de Polignac number, because 13003020333 - 26 = 13003020269 is a prime.

It is a super-2 number, since 2×130030203332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003020383) 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, 112263 + ... + 196491.

It is an arithmetic number, because the mean of its divisors is an integer number (829454925).

Almost surely, 213003020333 is an apocalyptic number.

It is an amenable number.

13003020333 is a deficient number, since it is larger than the sum of its proper divisors (6903897867).

13003020333 is a wasteful number, since it uses less digits than its factorization.

13003020333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85261 (or 85258 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13003020333 its reverse (33302030031), we get a palindrome (46305050364).

The spelling of 13003020333 in words is "thirteen billion, three million, twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 1009 3027 9081 17153 51459 84229 154377 252687 758061 1431893 4295679 12887037 84987061 254961183 764883549 1444780037 4334340111 13003020333