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133011323421141 = 31141949919277917
BaseRepresentation
bin11110001111100100011100…
…101011110000000111010101
3122102221202110211021221212010
4132033210130223300013111
5114413224142243434031
61150520320341414433
740005515406356304
oct3617443453600725
9572852424257763
10133011323421141
11394218705228a0
1212b0259b10a419
13592abb601ab89
1424bbad4cb443b
151059de2e65246
hex78f91caf01d5

133011323421141 has 32 divisors (see below), whose sum is σ = 194321413440000. Its totient is φ = 80259362124480.

The previous prime is 133011323421133. The next prime is 133011323421217. The reversal of 133011323421141 is 141124323110331.

It is a happy number.

It is not a de Polignac number, because 133011323421141 - 23 = 133011323421133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133011323421099 and 133011323421108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133011323421101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739286 + ... + 16538631.

It is an arithmetic number, because the mean of its divisors is an integer number (6072544170000).

Almost surely, 2133011323421141 is an apocalyptic number.

133011323421141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133011323421141 is a deficient number, since it is larger than the sum of its proper divisors (61310090018859).

133011323421141 is a wasteful number, since it uses less digits than its factorization.

133011323421141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19278849.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 133011323421141 its reverse (141124323110331), we get a palindrome (274135646531472).

The spelling of 133011323421141 in words is "one hundred thirty-three trillion, eleven billion, three hundred twenty-three million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 11 33 419 499 1257 1497 4609 5489 13827 16467 209081 627243 2299891 6899673 19277917 57833751 212057087 636171261 8077447223 9619680583 24232341669 28859041749 88851919453 105816486413 266555758359 317449459239 4030646164277 12091938492831 44337107807047 133011323421141