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1332002033209 = 176611117106121
BaseRepresentation
bin10011011000100001100…
…000100000111000111001
311201100010111211011212101
4103120201200200320321
5133310420010030314
62455525134143401
7165143152320631
oct23304140407071
94640114734771
101332002033209
11473998471421
12196198951b61
13987b8199173
144867d85b6c1
15249ad6b4174
hex13621820e39

1332002033209 has 16 divisors (see below), whose sum is σ = 1413766622736. Its totient is φ = 1250619955200.

The previous prime is 1332002033179. The next prime is 1332002033221. The reversal of 1332002033209 is 9023302002331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64857827584 + 1267144205625 = 254672^2 + 1125675^2 .

It is a cyclic number.

It is not a de Polignac number, because 1332002033209 - 229 = 1331465162297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332002033009) 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, 12498669 + ... + 12604789.

It is an arithmetic number, because the mean of its divisors is an integer number (88360413921).

Almost surely, 21332002033209 is an apocalyptic number.

It is an amenable number.

1332002033209 is a deficient number, since it is larger than the sum of its proper divisors (81764589527).

1332002033209 is a wasteful number, since it uses less digits than its factorization.

1332002033209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107916.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 1332002033209 in words is "one trillion, three hundred thirty-two billion, two million, thirty-three thousand, two hundred nine".

Divisors: 1 17 661 1117 11237 18989 106121 738337 1804057 12551729 70145981 118537157 1192481677 2015131669 78353060777 1332002033209