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210200210100200 = 23526553160384717
BaseRepresentation
bin101111110010110100001100…
…110110101100111111101000
31000120020221111001111012012002
4233302310030312230333220
5210022410012241201300
62023020350551510132
762163315105521135
oct5762641466547750
91016227431435162
10210200210100200
1160a814547699a1
121b6aa261088348
139039a44118bc8
1439c9a5cac558c
151947bcab085d5
hexbf2d0cdacfe8

210200210100200 has 48 divisors (see below), whose sum is σ = 488790070423980. Its totient is φ = 84067252738560.

The previous prime is 210200210100143. The next prime is 210200210100229. The reversal of 210200210100200 is 2001012002012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12587409919876 + 197612800180324 = 3547874^2 + 14057482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78881759 + ... + 81502958.

Almost surely, 2210200210100200 is an apocalyptic number.

210200210100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200210100200 is an abundant number, since it is smaller than the sum of its proper divisors (278589860323780).

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

210200210100200 is a wasteful number, since it uses less digits than its factorization.

210200210100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160391286 (or 160391277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210200210100200 its reverse (2001012002012), we get a palindrome (212201222102212).

The spelling of 210200210100200 in words is "two hundred ten trillion, two hundred billion, two hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6553 13106 26212 32765 52424 65530 131060 163825 262120 327650 655300 1310600 160384717 320769434 641538868 801923585 1283077736 1603847170 3207694340 4009617925 6415388680 8019235850 16038471700 32076943400 1051001050501 2102002101002 4204004202004 5255005252505 8408008404008 10510010505010 21020021010020 26275026262525 42040042020040 52550052525050 105100105050100 210200210100200