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2100110200 = 2352411931327
BaseRepresentation
bin111110100101101…
…0010001101111000
312102100201122121021
41331023102031320
513300112011300
6544220352224
7103020433156
oct17513221570
95370648537
102100110200
11988503971
124a73a5674
13276129076
1415ccb83d6
15c4589d1a
hex7d2d2378

2100110200 has 96 divisors (see below), whose sum is σ = 5031552960. Its totient is φ = 814694400.

The previous prime is 2100110189. The next prime is 2100110231. The reversal of 2100110200 is 20110012.

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 23 ways as a sum of consecutive naturals, for example, 1581937 + ... + 1583263.

It is an arithmetic number, because the mean of its divisors is an integer number (52412010).

Almost surely, 22100110200 is an apocalyptic number.

2100110200 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 2100110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515776480).

2100110200 is an abundant number, since it is smaller than the sum of its proper divisors (2931442760).

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

2100110200 is a wasteful number, since it uses less digits than its factorization.

2100110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100110200 is about 45826.9593143599. The cubic root of 2100110200 is about 1280.6015645677.

Adding to 2100110200 its reverse (20110012), we get a palindrome (2120220212).

The spelling of 2100110200 in words is "two billion, one hundred million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 193 200 205 328 386 410 772 820 965 1025 1327 1544 1640 1930 2050 2654 3860 4100 4825 5308 6635 7720 7913 8200 9650 10616 13270 15826 19300 26540 31652 33175 38600 39565 53080 54407 63304 66350 79130 108814 132700 158260 197825 217628 256111 265400 272035 316520 395650 435256 512222 544070 791300 1024444 1088140 1280555 1360175 1582600 2048888 2176280 2561110 2720350 5122220 5440700 6402775 10244440 10500551 10881400 12805550 21001102 25611100 42002204 51222200 52502755 84004408 105005510 210011020 262513775 420022040 525027550 1050055100 2100110200