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2130110200 = 2352171016203
BaseRepresentation
bin111111011110110…
…1110011011111000
312111110011210212101
41332331232123320
513330302011300
6551211353144
7103533431551
oct17675563370
95443153771
102130110200
119a3434359
124b54527b4
1327c40104a
14162c87328
15c7013b6a
hex7ef6e6f8

2130110200 has 96 divisors (see below), whose sum is σ = 5296602960. Its totient is φ = 793856000.

The previous prime is 2130110189. The next prime is 2130110207. The reversal of 2130110200 is 20110312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130110207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340299 + ... + 346501.

Almost surely, 22130110200 is an apocalyptic number.

2130110200 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 2130110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648301480).

2130110200 is an abundant number, since it is smaller than the sum of its proper divisors (3166492760).

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

2130110200 is a wasteful number, since it uses less digits than its factorization.

2130110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2130110200 is about 46153.1169044952. The cubic root of 2130110200 is about 1286.6705399879.

Adding to 2130110200 its reverse (20110312), we get a palindrome (2150220512).

The spelling of 2130110200 in words is "two billion, one hundred thirty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 136 170 200 202 340 404 425 505 680 808 850 1010 1700 1717 2020 2525 3400 3434 4040 5050 6203 6868 8585 10100 12406 13736 17170 20200 24812 31015 34340 42925 49624 62030 68680 85850 105451 124060 155075 171700 210902 248120 310150 343400 421804 527255 620300 626503 843608 1054510 1240600 1253006 2109020 2506012 2636275 3132515 4218040 5012024 5272550 6265030 10545100 10650551 12530060 15662575 21090200 21301102 25060120 31325150 42602204 53252755 62650300 85204408 106505510 125300600 213011020 266263775 426022040 532527550 1065055100 2130110200