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1330331020002 = 23273907278889
BaseRepresentation
bin10011010110111101111…
…010000110101011100010
311201011211001111220200100
4103112331322012223202
5133244004220120002
62455051242403230
7165053562044205
oct23267572065342
94634731456610
101330331020002
114732101a7476
121959b1200516
13985acc2b65a
144856195d93c
1524911b3911c
hex135bde86ae2

1330331020002 has 12 divisors (see below), whose sum is σ = 2882383876710. Its totient is φ = 443443673328.

The previous prime is 1330331019973. The next prime is 1330331020103. The reversal of 1330331020002 is 2000201330331.

1330331020002 is a `hidden beast` number, since 1 + 330 + 3 + 310 + 20 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1315152533601 + 15178486401 = 1146801^2 + 123201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 73907278889 = 1330331020002 / (1 + 3 + 3 + 0 + 3 + 3 + 1 + 0 + 2 + 0 + 0 + 0 + 2).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 36953639427 + ... + 36953639462.

Almost surely, 21330331020002 is an apocalyptic number.

1330331020002 is an abundant number, since it is smaller than the sum of its proper divisors (1552052856708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330331020002 is a wasteful number, since it uses less digits than its factorization.

1330331020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73907278897 (or 73907278894 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330331020002 its reverse (2000201330331), we get a palindrome (3330532350333).

The spelling of 1330331020002 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 73907278889 147814557778 221721836667 443443673334 665165510001 1330331020002