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114103213353 = 33891392111619
BaseRepresentation
bin110101001000100010…
…1001101110100101001
3101220112001022210221000
41222101011031310221
53332140410311403
6124230203505213
711146404211413
oct1522105156451
9356461283830
10114103213353
1144433320028
121a144b28209
13a9b56188bc
1457461239b3
152e7c4597a3
hex1a9114dd29

114103213353 has 64 divisors (see below), whose sum is σ = 173093760000. Its totient is φ = 74273189760.

The previous prime is 114103213349. The next prime is 114103213381. The reversal of 114103213353 is 353312301411.

114103213353 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 321 + 335 + 3 = 666.

It is not a de Polignac number, because 114103213353 - 22 = 114103213349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114103213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70476778 + ... + 70478396.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590000).

Almost surely, 2114103213353 is an apocalyptic number.

It is an amenable number.

114103213353 is a deficient number, since it is larger than the sum of its proper divisors (58990546647).

114103213353 is a wasteful number, since it uses less digits than its factorization.

114103213353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 114103213353 its reverse (353312301411), we get a palindrome (467415514764).

The spelling of 114103213353 in words is "one hundred fourteen billion, one hundred three million, two hundred thirteen thousand, three hundred fifty-three".

Divisors: 1 3 9 27 89 139 211 267 417 633 801 1251 1619 1899 2403 3753 4857 5697 12371 14571 18779 29329 37113 43713 56337 87987 111339 144091 169011 225041 263961 334017 341609 432273 507033 675123 791883 1024827 1296819 2025369 2610281 3074481 3890457 6076107 7830843 9223443 20028649 23492529 30403201 47483651 60085947 70477587 91209603 142450953 180257841 273628809 427352859 540773523 820886427 1282058577 4226044939 12678134817 38034404451 114103213353