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33311231012133 = 3228113171700677
BaseRepresentation
bin1111001001011111000000…
…00101110110110100100101
311100221112002222000120222200
413210233200011312310211
513331232400114342013
6154502545051245113
710005441233531364
oct744574005666445
9140845088016880
1033311231012133
11a683239536738
12389bb33a49799
13157830a81a259
148323b4c2b7db
153cb77cb9de73
hex1e4be0176d25

33311231012133 has 12 divisors (see below), whose sum is σ = 48287454685548. Its totient is φ = 22128457135680.

The previous prime is 33311231012099. The next prime is 33311231012161. The reversal of 33311231012133 is 33121013211333.

33311231012133 is a `hidden beast` number, since 3 + 3 + 311 + 2 + 310 + 1 + 2 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13043380079844 + 20267850932289 = 3611562^2 + 4501983^2 .

It is not a de Polignac number, because 33311231012133 - 212 = 33311231008037 is a prime.

It is a super-2 number, since 2×333112310121332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33311231012097 and 33311231012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33311231012333) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6585847810 + ... + 6585852867.

It is an arithmetic number, because the mean of its divisors is an integer number (4023954557129).

Almost surely, 233311231012133 is an apocalyptic number.

It is an amenable number.

33311231012133 is a deficient number, since it is larger than the sum of its proper divisors (14976223673415).

33311231012133 is a wasteful number, since it uses less digits than its factorization.

33311231012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171700964 (or 13171700961 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 33311231012133 its reverse (33121013211333), we get a palindrome (66432244223466).

The spelling of 33311231012133 in words is "thirty-three trillion, three hundred eleven billion, two hundred thirty-one million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 281 843 2529 13171700677 39515102031 118545306093 3701247890237 11103743670711 33311231012133