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113535002343321 = 32134332241073061
BaseRepresentation
bin11001110100001001101101…
…011110111111011110011001
3112212222211200112010001011200
4121310021231132333132121
5104340124141044441241
61041245132100144413
732625430124616426
oct3164115536773631
9485884615101150
10113535002343321
11331a2a18a75a29
1210897a16698109
134b473c67b3580
1420071a29b6d4d
15d1d48c92e4b6
hex67426d7bf799

113535002343321 has 24 divisors (see below), whose sum is σ = 177017879021256. Its totient is φ = 69706336458240.

The previous prime is 113535002343283. The next prime is 113535002343341. The reversal of 113535002343321 is 123343200535311.

113535002343321 is a `hidden beast` number, since 1 + 1 + 3 + 53 + 50 + 0 + 234 + 3 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416462424921 + 113118539918400 = 645339^2 + 10635720^2 .

It is not a de Polignac number, because 113535002343321 - 218 = 113535002081177 is a prime.

It is a super-2 number, since 2×1135350023433212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113535002343341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120485870 + ... + 1120587191.

It is an arithmetic number, because the mean of its divisors is an integer number (7375744959219).

Almost surely, 2113535002343321 is an apocalyptic number.

It is an amenable number.

113535002343321 is a deficient number, since it is larger than the sum of its proper divisors (63482876677935).

113535002343321 is a wasteful number, since it uses less digits than its factorization.

113535002343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241073513 (or 2241073510 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 113535002343321 its reverse (123343200535311), we get a palindrome (236878202878632).

The spelling of 113535002343321 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 433 1299 3897 5629 16887 50661 2241073061 6723219183 20169657549 29133949793 87401849379 262205548137 970384635413 2911153906239 8733461718717 12615000260369 37845000781107 113535002343321