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4102210242 = 23213131163821
BaseRepresentation
bin1111010010000010…
…1100001011000010
3101120220000212112200
43310200230023002
531400131211432
61515020334030
7203441132424
oct36440541302
911526025480
104102210242
1118156552a9
129659a4316
13504b5a250
142acb5c814
15190214a7c
hexf482c2c2

4102210242 has 96 divisors (see below), whose sum is σ = 9715882176. Its totient is φ = 1243382400.

The previous prime is 4102210223. The next prime is 4102210247. The reversal of 4102210242 is 2420122014.

4102210242 is a `hidden beast` number, since 410 + 2 + 2 + 10 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4102210247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996192 + ... + 4997012.

It is an arithmetic number, because the mean of its divisors is an integer number (101207106).

Almost surely, 24102210242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102210242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857941088).

4102210242 is an abundant number, since it is smaller than the sum of its proper divisors (5613671934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102210242 is a wasteful number, since it uses less digits than its factorization.

4102210242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4102210242 is about 64048.4991393241. The cubic root of 4102210242 is about 1600.8082169325.

Adding to 4102210242 its reverse (2420122014), we get a palindrome (6522332256).

The spelling of 4102210242 in words is "four billion, one hundred two million, two hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 163 234 262 326 393 489 786 821 978 1179 1467 1642 1703 2119 2358 2463 2934 3406 4238 4926 5109 6357 7389 10218 10673 12714 14778 15327 19071 21346 21353 30654 32019 38142 42706 64038 64059 96057 107551 128118 133823 192114 192177 215102 267646 277589 322653 384354 401469 555178 645306 802938 832767 967959 1204407 1398163 1665534 1739699 1935918 2408814 2498301 2796326 3479398 4194489 4996602 5219097 8388978 10438194 12583467 15657291 17530813 25166934 31314582 35061626 52592439 105184878 157777317 227900569 315554634 455801138 683701707 1367403414 2051105121 4102210242