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201141312113 = 72173124413191
BaseRepresentation
bin1011101101010011110…
…1001101101001110001
3201020011212212100101102
42323110331031221301
511243414133441423
6232223020214145
720350316641400
oct2732475155161
9636155770342
10201141312113
1178338032955
1232b9599a355
1315c769059a1
149a418d5637
15537376ac28
hex2ed4f4da71

201141312113 has 48 divisors (see below), whose sum is σ = 255920974848. Its totient is φ = 156917376000.

The previous prime is 201141312107. The next prime is 201141312121. The reversal of 201141312113 is 311213141102.

It is a de Polignac number, because none of the positive numbers 2k-201141312113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201141312413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63032348 + ... + 63035538.

It is an arithmetic number, because the mean of its divisors is an integer number (5331686976).

Almost surely, 2201141312113 is an apocalyptic number.

It is an amenable number.

201141312113 is a deficient number, since it is larger than the sum of its proper divisors (54779662735).

201141312113 is a wasteful number, since it uses less digits than its factorization.

201141312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201141312113 its reverse (311213141102), we get a palindrome (512354453215).

The spelling of 201141312113 in words is "two hundred one billion, one hundred forty-one million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 7 17 31 49 119 217 527 833 1519 2441 3191 3689 17087 22337 25823 41497 54247 75671 98921 119609 156359 290479 379729 529697 692447 1286407 1681657 2033353 2658103 3707879 4847129 7789231 9004849 11771599 54524617 63033943 82401193 132416927 241466161 381672319 926918489 1690263127 4104924737 6488429423 11831841889 28734473159 201141312113