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133241103232 = 2710313972707
BaseRepresentation
bin111110000010111001…
…0011110001110000000
3110201220210122100102021
41330011302132032000
54140334210300412
6141113215131224
712424560455626
oct1740562361600
9421823570367
10133241103232
1151564146a46
12219a6213b14
13c7455050b3
14663db13516
1536ec680607
hex1f05c9e380

133241103232 has 64 divisors (see below), whose sum is σ = 269950262400. Its totient is φ = 65498217984.

The previous prime is 133241103169. The next prime is 133241103239. The reversal of 133241103232 is 232301142331.

133241103232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 133241103197 and 133241103206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133241103239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1796223 + ... + 1868929.

It is an arithmetic number, because the mean of its divisors is an integer number (4217972850).

Almost surely, 2133241103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133241103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134975131200).

133241103232 is an abundant number, since it is smaller than the sum of its proper divisors (136709159168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133241103232 is a wasteful number, since it uses less digits than its factorization.

133241103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72963 (or 72951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133241103232 its reverse (232301142331), we get a palindrome (365542245563).

The spelling of 133241103232 in words is "one hundred thirty-three billion, two hundred forty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 103 128 139 206 278 412 556 824 1112 1648 2224 3296 4448 6592 8896 13184 14317 17792 28634 57268 72707 114536 145414 229072 290828 458144 581656 916288 1163312 1832576 2326624 4653248 7488821 9306496 10106273 14977642 20212546 29955284 40425092 59910568 80850184 119821136 161700368 239642272 323400736 479284544 646801472 958569088 1040946119 1293602944 2081892238 4163784476 8327568952 16655137904 33310275808 66620551616 133241103232