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135522031315305 = 35263317211082969
BaseRepresentation
bin11110110100000110101110…
…100010010010100101101001
3122202211210001101010220102110
4132310012232202102211221
5120230343110004042210
61200121543421152533
740355100162346245
oct3664065642224551
9582753041126373
10135522031315305
113a1aa630697488
12132490b20bb749
135a80898c61a5b
142567430b3b425
1510a038bb65420
hex7b41ae892969

135522031315305 has 32 divisors (see below), whose sum is σ = 217666781418240. Its totient is φ = 72001257436160.

The previous prime is 135522031315303. The next prime is 135522031315313. The reversal of 135522031315305 is 503513130225531.

It is not a de Polignac number, because 135522031315305 - 21 = 135522031315303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135522031315303) 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, 124597861 + ... + 125680829.

It is an arithmetic number, because the mean of its divisors is an integer number (6802086919320).

Almost surely, 2135522031315305 is an apocalyptic number.

135522031315305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135522031315305 is a deficient number, since it is larger than the sum of its proper divisors (82144750102935).

135522031315305 is a wasteful number, since it uses less digits than its factorization.

135522031315305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114961.

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 135522031315305 in words is "one hundred thirty-five trillion, five hundred twenty-two billion, thirty-one million, three hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 15 263 789 1315 3945 31721 95163 158605 475815 1082969 3248907 5414845 8342623 16244535 25027869 41713115 125139345 284820847 854462541 1424104235 4272312705 34352859649 103058578947 171764298245 515292894735 9034802087687 27104406263061 45174010438435 135522031315305