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133032220322211 = 3374714976046417
BaseRepresentation
bin11110001111110111111010…
…001111000110100110100011
3122110000202102011111112002000
4132033313322033012212203
5114414044441400302321
61150534054110455043
740010155302164160
oct3617677217064643
9573022364445060
10133032220322211
113942a714257971
1212b06651504483
13592cb664757b2
1424bcb1834b067
15105a7177e9826
hex78fdfa3c69a3

133032220322211 has 32 divisors (see below), whose sum is σ = 230032072980480. Its totient is φ = 74400998594688.

The previous prime is 133032220322201. The next prime is 133032220322257. The reversal of 133032220322211 is 112223022230331.

133032220322211 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 322 + 2 + 0 + 322 + 2 + 11 = 666.

It is not a de Polignac number, because 133032220322211 - 25 = 133032220322179 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (133032220322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7488014326 + ... + 7488032091.

It is an arithmetic number, because the mean of its divisors is an integer number (7188502280640).

Almost surely, 2133032220322211 is an apocalyptic number.

133032220322211 is a deficient number, since it is larger than the sum of its proper divisors (96999852658269).

133032220322211 is a wasteful number, since it uses less digits than its factorization.

133032220322211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14976046480 (or 14976046474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133032220322211 its reverse (112223022230331), we get a palindrome (245255242552542).

The spelling of 133032220322211 in words is "one hundred thirty-three trillion, thirty-two billion, two hundred twenty million, three hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 14976046417 44928139251 104832324919 134784417753 314496974757 404353253259 703874181599 943490924271 2111622544797 2830472772813 4927119271193 6334867634391 14781357813579 19004602903173 44344073440737 133032220322211