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133233113331 = 355356918181
BaseRepresentation
bin111110000010101001…
…1111111100011110011
3110201220020121102100000
41330011103333203303
54140330134111311
6141112332001043
712424432530513
oct1740523774363
9421806542300
10133233113331
115155a68a01a
12219a3600183
13c743968446
14663ca33843
1536ebb03056
hex1f054ff8f3

133233113331 has 48 divisors (see below), whose sum is σ = 203709673440. Its totient is φ = 86988245760.

The previous prime is 133233113329. The next prime is 133233113383. The reversal of 133233113331 is 133311332331.

133233113331 is a `hidden beast` number, since 1 + 3 + 323 + 3 + 1 + 1 + 3 + 331 = 666.

It is not a de Polignac number, because 133233113331 - 21 = 133233113329 is a prime.

It is a super-2 number, since 2×1332331133312 (a number of 23 digits) contains 22 as substring.

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 = 133233113295 and 133233113304.

It is not an unprimeable number, because it can be changed into a prime (133233513331) 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 47 ways as a sum of consecutive naturals, for example, 7319061 + ... + 7337241.

It is an arithmetic number, because the mean of its divisors is an integer number (4243951530).

Almost surely, 2133233113331 is an apocalyptic number.

133233113331 is a deficient number, since it is larger than the sum of its proper divisors (70476560109).

133233113331 is an equidigital number, since it uses as much as digits as its factorization.

133233113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818 (or 18806 counting only the distinct ones).

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

Adding to 133233113331 its reverse (133311332331), we get a palindrome (266544445662).

The spelling of 133233113331 in words is "one hundred thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 53 81 159 243 477 569 1431 1707 4293 5121 12879 15363 18181 30157 46089 54543 90471 138267 163629 271413 490887 814239 963593 1472661 2442717 2890779 4417983 7328151 8672337 10344989 26017011 31034967 78051033 93104901 234153099 279314703 548284417 837944109 1644853251 2513832327 4934559753 14803679259 44411037777 133233113331