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2102315000 = 235423101181
BaseRepresentation
bin111110101001110…
…1100011111111000
312102111212200000112
41331103230133320
513301143040000
6544335523452
7103045245152
oct17523543770
95374780015
102102315000
1198977a415
124a8089588
1327671b796
1415d2cdad2
15c4873235
hex7d4ec7f8

2102315000 has 160 divisors (see below), whose sum is σ = 5219454240. Its totient is φ = 792000000.

The previous prime is 2102314999. The next prime is 2102315011. The reversal of 2102315000 is 5132012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11614910 + ... + 11615090.

It is an arithmetic number, because the mean of its divisors is an integer number (32621589).

Almost surely, 22102315000 is an apocalyptic number.

2102315000 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 2102315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609727120).

2102315000 is an abundant number, since it is smaller than the sum of its proper divisors (3117139240).

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

2102315000 is a wasteful number, since it uses less digits than its factorization.

2102315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2102315000 is about 45851.0087130043. The cubic root of 2102315000 is about 1281.0495542069.

Adding to 2102315000 its reverse (5132012), we get a palindrome (2107447012).

The spelling of 2102315000 in words is "two billion, one hundred two million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 101 115 125 181 184 200 202 230 250 362 404 460 500 505 575 625 724 808 905 920 1000 1010 1150 1250 1448 1810 2020 2300 2323 2500 2525 2875 3620 4040 4163 4525 4600 4646 5000 5050 5750 7240 8326 9050 9292 10100 11500 11615 12625 14375 16652 18100 18281 18584 20200 20815 22625 23000 23230 25250 28750 33304 36200 36562 41630 45250 46460 50500 57500 58075 63125 73124 83260 90500 91405 92920 101000 104075 113125 115000 116150 126250 146248 166520 181000 182810 208150 226250 232300 252500 290375 365620 416300 420463 452500 457025 464600 505000 520375 580750 731240 832600 840926 905000 914050 1040750 1161500 1451875 1681852 1828100 2081500 2102315 2285125 2323000 2601875 2903750 3363704 3656200 4163000 4204630 4570250 5203750 5807500 8409260 9140500 10407500 10511575 11425625 11615000 16818520 18281000 20815000 21023150 22851250 42046300 45702500 52557875 84092600 91405000 105115750 210231500 262789375 420463000 525578750 1051157500 2102315000