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20101242 = 2371747599
BaseRepresentation
bin100110010101…
…1100001111010
31101211020201110
41030223201322
520121214432
61554501150
7332600130
oct114534172
941736643
1020101242
111038a3a7
1268947b6
13421a535
142953750
151b70dcc
hex132b87a

20101242 has 64 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 5281536.

The previous prime is 20101229. The next prime is 20101247. The reversal of 20101242 is 24210102.

It is not an unprimeable number, because it can be changed into a prime (20101247) 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 31 ways as a sum of consecutive naturals, for example, 33259 + ... + 33857.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 220101242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

20101242 is an abundant number, since it is smaller than the sum of its proper divisors (29665158).

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

20101242 is a wasteful number, since it uses less digits than its factorization.

20101242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20101242 is about 4483.4408661206. The cubic root of 20101242 is about 271.8990127555.

Adding to 20101242 its reverse (24210102), we get a palindrome (44311344).

The spelling of 20101242 in words is "twenty million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 51 94 102 119 141 238 282 329 357 599 658 714 799 987 1198 1598 1797 1974 2397 3594 4193 4794 5593 8386 10183 11186 12579 16779 20366 25158 28153 30549 33558 56306 61098 71281 84459 142562 168918 197071 213843 394142 427686 478601 591213 957202 1182426 1435803 2871606 3350207 6700414 10050621 20101242