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135112050133023 = 31941120148138479
BaseRepresentation
bin11110101110001000111001…
…110000001100100000011111
3122201101120211002012221100210
4132232020321300030200133
5120202133434313224043
61155205341405423503
740313344361656365
oct3656107160144037
9581346732187323
10135112050133023
113a061775a33107
12131a175426ab93
135a5101c7c44c2
14255165b113635
151094893d79633
hex7ae239c0c81f

135112050133023 has 32 divisors (see below), whose sum is σ = 194417841945600. Its totient is φ = 83183289984000.

The previous prime is 135112050133019. The next prime is 135112050133057. The reversal of 135112050133023 is 320331050211531.

It is not a de Polignac number, because 135112050133023 - 22 = 135112050133019 is a prime.

It is a super-2 number, since 2×1351120501330232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135112050133063) 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, 21262503 + ... + 26875976.

It is an arithmetic number, because the mean of its divisors is an integer number (6075557560800).

Almost surely, 2135112050133023 is an apocalyptic number.

135112050133023 is a deficient number, since it is larger than the sum of its proper divisors (59305791812577).

135112050133023 is a wasteful number, since it uses less digits than its factorization.

135112050133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48139743.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 135112050133023 in words is "one hundred thirty-five trillion, one hundred twelve billion, fifty million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 19 41 57 123 779 1201 2337 3603 22819 49241 68457 147723 935579 2806737 48138479 144415437 914631101 1973677639 2743893303 5921032917 37499875141 57814313279 112499625423 173442939837 1098471952301 2370386844439 3295415856903 7111160533317 45037350044341 135112050133023