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201110236350133 = 111723476131162269
BaseRepresentation
bin101101101110100010100000…
…001100101100011010110101
3222101001221200011012021212011
4231232202200030230122311
5202324442231001201013
61551420433411324221
760234510064505455
oct5556424014543265
9871057604167764
10201110236350133
1159097410539740
121a6806172b0671
13882a7c99c8066
143793b047b5d65
15183b513537c3d
hexb6e8a032c6b5

201110236350133 has 64 divisors (see below), whose sum is σ = 247597703700480. Its totient is φ = 161062283852800.

The previous prime is 201110236350109. The next prime is 201110236350151. The reversal of 201110236350133 is 331053632011102.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-201110236350133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201110236350095 and 201110236350104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110236359133) 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 63 ways as a sum of consecutive naturals, for example, 1239282123 + ... + 1239444391.

It is an arithmetic number, because the mean of its divisors is an integer number (3868714120320).

Almost surely, 2201110236350133 is an apocalyptic number.

201110236350133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201110236350133 is a deficient number, since it is larger than the sum of its proper divisors (46487467350347).

201110236350133 is a wasteful number, since it uses less digits than its factorization.

201110236350133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168498.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 201110236350133 its reverse (331053632011102), we get a palindrome (532163868361235).

The spelling of 201110236350133 in words is "two hundred one trillion, one hundred ten billion, two hundred thirty-six million, three hundred fifty thousand, one hundred thirty-three".

Divisors: 1 11 17 23 47 187 253 391 517 799 1081 4301 6131 8789 11891 18377 67441 104227 141013 162269 202147 288157 1146497 1551143 1784959 2397221 2758573 3169727 3732187 4898669 6627611 7626643 26369431 30344303 41054057 53885359 63447179 72903721 83893073 112669387 129652931 175412789 697918969 994871239 1239363257 1426182241 1929540679 2982017413 10943583629 16912811063 22882038497 32802191543 46758948233 186040921693 251702423467 388994654449 514348430563 794902119961 1075455809359 4278941198939 8743923319571 11830013902949 18282748759103 201110236350133