Search a number
-
+
133022130114033 = 3314327573438647
BaseRepresentation
bin11110001111101110100000…
…110100000000110111110001
3122102222210100221222211121000
4132033232200310000313301
5114413413310302122113
61150525304542352213
740006350250631466
oct3617564064006761
9572883327884530
10133022130114033
113942640662a146
1212b046b628b669
13592bc18b92704
1424bc43c22566d
15105a326a6d373
hex78fba0d00df1

133022130114033 has 16 divisors (see below), whose sum is σ = 197070017247360. Its totient is φ = 88681332390768.

The previous prime is 133022130114011. The next prime is 133022130114053. The reversal of 133022130114033 is 330411031220331.

133022130114033 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 221 + 30 + 1 + 1 + 403 + 3 = 666.

It is not a de Polignac number, because 133022130114033 - 220 = 133022129065457 is a prime.

It is a super-2 number, since 2×1330221301140332 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133022130113988 and 133022130114006.

It is not an unprimeable number, because it can be changed into a prime (133022130114053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36965116 + ... + 40403762.

It is an arithmetic number, because the mean of its divisors is an integer number (12316876077960).

Almost surely, 2133022130114033 is an apocalyptic number.

It is an amenable number.

133022130114033 is a deficient number, since it is larger than the sum of its proper divisors (64047887133327).

133022130114033 is a wasteful number, since it uses less digits than its factorization.

133022130114033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871413 (or 4871407 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133022130114033 its reverse (330411031220331), we get a palindrome (463433161334364).

The spelling of 133022130114033 in words is "one hundred thirty-three trillion, twenty-two billion, one hundred thirty million, one hundred fourteen thousand, thirty-three".

Divisors: 1 3 9 27 1432757 3438647 4298271 10315941 12894813 30947823 38684439 92843469 4926745559779 14780236679337 44340710038011 133022130114033