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210001102100 = 225223314171837
BaseRepresentation
bin1100001110010100001…
…0101000010100010100
3202002001100010022102022
43003211002220110110
511420040240231400
6240250112232312
721113010626036
oct3034502502424
9662040108368
10210001102100
1181074169239
1234848b3b698
1316a5930417a
14a24244dc56
1556e149db85
hex30e50a8514

210001102100 has 144 divisors (see below), whose sum is σ = 502833816576. Its totient is φ = 75858816000.

The previous prime is 210001102099. The next prime is 210001102109. The reversal of 210001102100 is 1201100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210001102109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2887382 + ... + 2959218.

It is an arithmetic number, because the mean of its divisors is an integer number (3491901504).

Almost surely, 2210001102100 is an apocalyptic number.

210001102100 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 210001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251416908288).

210001102100 is an abundant number, since it is smaller than the sum of its proper divisors (292832714476).

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

210001102100 is a wasteful number, since it uses less digits than its factorization.

210001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71946 (or 71939 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210001102100 its reverse (1201100012), we get a palindrome (211202202112).

The spelling of 210001102100 in words is "two hundred ten billion, one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 41 46 50 62 82 92 100 115 124 155 164 205 230 310 410 460 575 620 713 775 820 943 1025 1150 1271 1426 1550 1886 2050 2300 2542 2852 3100 3565 3772 4100 4715 5084 6355 7130 9430 12710 14260 17825 18860 23575 25420 29233 31775 35650 47150 58466 63550 71300 71837 94300 116932 127100 143674 146165 287348 292330 359185 584660 718370 730825 1436740 1461650 1652251 1795925 2226947 2923300 2945317 3304502 3591850 4453894 5890634 6609004 7183700 8261255 8907788 11134735 11781268 14726585 16522510 22269470 29453170 33045020 41306275 44538940 51219781 55673675 58906340 67742291 73632925 82612550 91304827 102439562 111347350 135484582 147265850 165225100 182609654 204879124 222694700 256098905 270969164 294531700 338711455 365219308 456524135 512197810 677422910 913048270 1024395620 1280494525 1354845820 1693557275 1826096540 2100011021 2282620675 2560989050 3387114550 4200022042 4565241350 5121978100 6774229100 8400044084 9130482700 10500055105 21000110210 42000220420 52500275525 105000551050 210001102100