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2102717320 = 235114919733
BaseRepresentation
bin111110101010100…
…1110101110001000
312102112122002220021
41331111032232020
513301243423240
6544352310224
7103051542124
oct17525165610
95375562807
102102717320
11989a24710
124a8242374
1327682c942
1415d396584
15c490254a
hex7d54eb88

2102717320 has 64 divisors (see below), whose sum is σ = 5172258240. Its totient is φ = 762988800.

The previous prime is 2102717303. The next prime is 2102717341. The reversal of 2102717320 is 237172012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 211174 + ... + 220906.

It is an arithmetic number, because the mean of its divisors is an integer number (80816535).

Almost surely, 22102717320 is an apocalyptic number.

2102717320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102717320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586129120).

2102717320 is an abundant number, since it is smaller than the sum of its proper divisors (3069540920).

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

2102717320 is a wasteful number, since it uses less digits than its factorization.

2102717320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2102717320 is about 45855.3957566610. The cubic root of 2102717320 is about 1281.1312671414.

Adding to 2102717320 its reverse (237172012), we get a palindrome (2339889332).

The spelling of 2102717320 in words is "two billion, one hundred two million, seven hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 491 982 1964 2455 3928 4910 5401 9733 9820 10802 19466 19640 21604 27005 38932 43208 48665 54010 77864 97330 107063 108020 194660 214126 216040 389320 428252 535315 856504 1070630 2141260 4282520 4778903 9557806 19115612 23894515 38231224 47789030 52567933 95578060 105135866 191156120 210271732 262839665 420543464 525679330 1051358660 2102717320