Search a number
-
+
133212300032201 = 1321746366968337
BaseRepresentation
bin11110010010011111100111…
…110100101011100011001001
3122110122222020020020121212112
4132102133213310223203021
5114430022242302012301
61151152515155552105
740026161656362005
oct3622374764534311
9573588206217775
10133212300032201
113949a023592375
1212b355298bb635
135943b34778400
1424c771c975705
151060256eea9bb
hex7927e7d2b8c9

133212300032201 has 12 divisors (see below), whose sum is σ = 152732793705372. Its totient is φ = 115731952966656.

The previous prime is 133212300032177. The next prime is 133212300032213. The reversal of 133212300032201 is 102230003212331.

It can be written as a sum of positive squares in 6 ways, for example, as 33508480399801 + 99703819632400 = 5788651^2 + 9985180^2 .

It is a de Polignac number, because none of the positive numbers 2k-133212300032201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133212300032261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23183481296 + ... + 23183487041.

It is an arithmetic number, because the mean of its divisors is an integer number (12727732808781).

Almost surely, 2133212300032201 is an apocalyptic number.

It is an amenable number.

133212300032201 is a deficient number, since it is larger than the sum of its proper divisors (19520493673171).

133212300032201 is a wasteful number, since it uses less digits than its factorization.

133212300032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46366968380 (or 46366968367 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 133212300032201 its reverse (102230003212331), we get a palindrome (235442303244532).

The spelling of 133212300032201 in words is "one hundred thirty-three trillion, two hundred twelve billion, three hundred million, thirty-two thousand, two hundred one".

Divisors: 1 13 17 169 221 2873 46366968337 602770588381 788238461729 7836017648953 10247100002477 133212300032201