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2113110200 = 235217236559
BaseRepresentation
bin111110111110011…
…1000000010111000
312110021012010020202
41331330320002320
513311424011300
6545403141332
7103236066065
oct17574700270
95407163222
102113110200
11994882a73
124ab814848
13278a2b286
141608ddc6c
15c57a6ad5
hex7df380b8

2113110200 has 72 divisors (see below), whose sum is σ = 5219122800. Its totient is φ = 795502080.

The previous prime is 2113110191. The next prime is 2113110221. The reversal of 2113110200 is 20113112.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 39521 + ... + 76079.

Almost surely, 22113110200 is an apocalyptic number.

2113110200 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 2113110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609561400).

2113110200 is an abundant number, since it is smaller than the sum of its proper divisors (3106012600).

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

2113110200 is a wasteful number, since it uses less digits than its factorization.

2113110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36609 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2113110200 is about 45968.5783987280. The cubic root of 2113110200 is about 1283.2385035155.

Adding to 2113110200 its reverse (20113112), we get a palindrome (2133223312).

The spelling of 2113110200 in words is "two billion, one hundred thirteen million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2890 3400 5780 7225 11560 14450 28900 36559 57800 73118 146236 182795 292472 365590 621503 731180 913975 1243006 1462360 1827950 2486012 3107515 3655900 4972024 6215030 7311800 10565551 12430060 15537575 21131102 24860120 31075150 42262204 52827755 62150300 84524408 105655510 124300600 211311020 264138775 422622040 528277550 1056555100 2113110200