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2102120430 = 235417124071
BaseRepresentation
bin111110101001011…
…1100111111101110
312102111111210010020
41331102330333232
513301120323210
6544331423010
7103043504664
oct17522747756
95374453106
102102120430
11989657213
124a7bb4a66
13276681057
1415d27cc34
15c4835770
hex7d4bcfee

2102120430 has 64 divisors (see below), whose sum is σ = 5241148416. Its totient is φ = 539168000.

The previous prime is 2102120413. The next prime is 2102120441. The reversal of 2102120430 is 340212012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75295 + ... + 99365.

It is an arithmetic number, because the mean of its divisors is an integer number (81892944).

Almost surely, 22102120430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620574208).

2102120430 is an abundant number, since it is smaller than the sum of its proper divisors (3139027986).

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

2102120430 is a wasteful number, since it uses less digits than its factorization.

2102120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24193.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2102120430 is about 45848.8869003382. The cubic root of 2102120430 is about 1281.0100324572.

Adding to 2102120430 its reverse (340212012), we get a palindrome (2442332442).

The spelling of 2102120430 in words is "two billion, one hundred two million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 71 82 123 142 205 213 246 355 410 426 615 710 1065 1230 2130 2911 5822 8733 14555 17466 24071 29110 43665 48142 72213 87330 120355 144426 240710 361065 722130 986911 1709041 1973822 2960733 3418082 4934555 5127123 5921466 8545205 9869110 10254246 14803665 17090410 25635615 29607330 51271230 70070681 140141362 210212043 350353405 420424086 700706810 1051060215 2102120430