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2102221242 = 2331118119553
BaseRepresentation
bin111110101001101…
…0101100110111010
312102111200220102000
41331103111212322
513301132034432
6544333521430
7103044404622
oct17523254672
95374626360
102102221242
11989715a30
124a8043276
132766b7bc4
1415d2a7882
15c485557c
hex7d4d59ba

2102221242 has 64 divisors (see below), whose sum is σ = 5124712320. Its totient is φ = 633484800.

The previous prime is 2102221213. The next prime is 2102221243. The reversal of 2102221242 is 2421222012.

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 (2102221243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97738 + ... + 117290.

It is an arithmetic number, because the mean of its divisors is an integer number (80073630).

Almost surely, 22102221242 is an apocalyptic number.

2102221242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562356160).

2102221242 is an abundant number, since it is smaller than the sum of its proper divisors (3022491078).

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

2102221242 is a wasteful number, since it uses less digits than its factorization.

2102221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 19750 counting only the distinct ones).

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

The square root of 2102221242 is about 45849.9862813502. The cubic root of 2102221242 is about 1281.0305100533.

Adding to 2102221242 its reverse (2421222012), we get a palindrome (4523443254).

The spelling of 2102221242 in words is "two billion, one hundred two million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 181 198 297 362 543 594 1086 1629 1991 3258 3982 4887 5973 9774 11946 17919 19553 35838 39106 53757 58659 107514 117318 175977 215083 351954 430166 527931 645249 1055862 1290498 1935747 3539093 3871494 5807241 7078186 10617279 11614482 21234558 31851837 38930023 63703674 77860046 95555511 116790069 191111022 233580138 350370207 700740414 1051110621 2102221242