Search a number
-
+
1330344010332 = 223236954000287
BaseRepresentation
bin10011010110111110101…
…011101010001001011100
311201011211221221220001200
4103112332223222021130
5133244021031312312
62455052425035500
7165054110336661
oct23267653521134
94634757856050
101330344010332
1147321756a287
121959b5625b90
13985b282933c
1448563581a68
1524912d530dc
hex135beaea25c

1330344010332 has 18 divisors (see below), whose sum is σ = 3362814026208. Its totient is φ = 443448003432.

The previous prime is 1330344010291. The next prime is 1330344010343. The reversal of 1330344010332 is 2330104430331.

1330344010332 is a `hidden beast` number, since 13 + 303 + 4 + 4 + 0 + 10 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×13303440103323 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330344010296 and 1330344010305.

It is a congruent number.

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, 18477000108 + ... + 18477000179.

It is an arithmetic number, because the mean of its divisors is an integer number (186823001456).

Almost surely, 21330344010332 is an apocalyptic number.

1330344010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330344010332 is an abundant number, since it is smaller than the sum of its proper divisors (2032470015876).

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

1330344010332 is a wasteful number, since it uses less digits than its factorization.

1330344010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36954000297 (or 36954000292 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1330344010332 its reverse (2330104430331), we get a palindrome (3660448440663).

The spelling of 1330344010332 in words is "one trillion, three hundred thirty billion, three hundred forty-four million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 36954000287 73908000574 110862000861 147816001148 221724001722 332586002583 443448003444 665172005166 1330344010332