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110013352543341 = 321317946311345549
BaseRepresentation
bin11001000000111001111010…
…110011001000010001101101
3112102112011200200201021010100
4121000321322303020101231
5103404424321222341331
61025551234135101313
732113126301333412
oct3100717263102155
9472464620637110
10110013352543341
1132065445517685
12104093a9211839
1349502a3709b90
141d2496343a109
15caba76aa1ae6
hex640e7acc846d

110013352543341 has 48 divisors (see below), whose sum is σ = 172459621152000. Its totient is φ = 67176898943616.

The previous prime is 110013352543267. The next prime is 110013352543343. The reversal of 110013352543341 is 143345253310011.

110013352543341 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 33 + 52 + 543 + 34 + 1 = 666.

It is not a de Polignac number, because 110013352543341 - 226 = 110013285434477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110013352543296 and 110013352543305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013352543343) 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, 4023835 + ... + 15369383.

It is an arithmetic number, because the mean of its divisors is an integer number (3592908774000).

Almost surely, 2110013352543341 is an apocalyptic number.

It is an amenable number.

110013352543341 is a deficient number, since it is larger than the sum of its proper divisors (62446268608659).

110013352543341 is a wasteful number, since it uses less digits than its factorization.

110013352543341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346210 (or 11346207 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 110013352543341 in words is "one hundred ten trillion, thirteen billion, three hundred fifty-two million, five hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 179 463 537 1389 1611 2327 4167 6019 6981 18057 20943 54171 82877 248631 745893 1077401 3232203 9696609 11345549 34036647 102109941 147492137 442476411 1327429233 2030853271 5252989187 6092559813 15758967561 18277679439 26401092523 47276902683 68288859431 79203277569 204866578293 237609832707 614599734879 940285064473 2820855193419 8462565580257 12223705838149 36671117514447 110013352543341