Search a number
-
+
1332031313133 = 33411203280319
BaseRepresentation
bin10011011000100011010…
…000001101010011101101
311201100012112220202101000
4103120203100031103231
5133311000004010013
62455532101510513
7165143656230063
oct23304320152355
94640175822330
101332031313133
11473a02a4a904
121961a6712439
13987c127b471
14486836c0033
15249b1049973
hex1362340d4ed

1332031313133 has 16 divisors (see below), whose sum is σ = 2021510937600. Its totient is φ = 866361828960.

The previous prime is 1332031313117. The next prime is 1332031313191. The reversal of 1332031313133 is 3313131302331.

1332031313133 is a `hidden beast` number, since 1 + 3 + 32 + 0 + 313 + 1 + 313 + 3 = 666.

It is not a de Polignac number, because 1332031313133 - 24 = 1332031313117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332031313097 and 1332031313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332031313033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601639053 + ... + 601641266.

It is an arithmetic number, because the mean of its divisors is an integer number (126344433600).

Almost surely, 21332031313133 is an apocalyptic number.

It is an amenable number.

1332031313133 is a deficient number, since it is larger than the sum of its proper divisors (689479624467).

1332031313133 is a wasteful number, since it uses less digits than its factorization.

1332031313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203280369 (or 1203280363 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1332031313133 its reverse (3313131302331), we get a palindrome (4645162615464).

The spelling of 1332031313133 in words is "one trillion, three hundred thirty-two billion, thirty-one million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 41 123 369 1107 1203280319 3609840957 10829522871 32488568613 49334493079 148003479237 444010437711 1332031313133