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133041401320135 = 57113171090101203
BaseRepresentation
bin11110010000000000011101…
…011101110101001011000111
3122110001122010000011112120011
4132100000131131311023013
5114414222242214221020
61150542213115251051
740010631643321030
oct3620003535651307
9573048100145504
10133041401320135
11394335a5732560
1212b08394149a87
13593099a588c49
1424bd3497d9a87
15105aaa382a35a
hex79001d7752c7

133041401320135 has 32 divisors (see below), whose sum is σ = 199671657334272. Its totient is φ = 82673275159680.

The previous prime is 133041401320133. The next prime is 133041401320189. The reversal of 133041401320135 is 531023104140331.

It is not a de Polignac number, because 133041401320135 - 21 = 133041401320133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133041401320097 and 133041401320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133041401320133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544928557 + ... + 545172646.

It is an arithmetic number, because the mean of its divisors is an integer number (6239739291696).

Almost surely, 2133041401320135 is an apocalyptic number.

133041401320135 is a deficient number, since it is larger than the sum of its proper divisors (66630256014137).

133041401320135 is a wasteful number, since it uses less digits than its factorization.

133041401320135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090101543.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 133041401320135 its reverse (531023104140331), we get a palindrome (664064505460466).

The spelling of 133041401320135 in words is "one hundred thirty-three trillion, forty-one billion, four hundred one million, three hundred twenty thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 317 385 1585 2219 3487 11095 17435 24409 122045 1090101203 5450506015 7630708421 11991113233 38153542105 59955566165 83937792631 345562081351 419688963155 1727810406755 2418934569457 3801182894861 12094672847285 19005914474305 26608280264027 133041401320135