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10200010210 = 2513229208121
BaseRepresentation
bin10010111111111011…
…11100110111100010
3222022212010012112221
421133331330313202
5131342200311320
64404045341254
7510523441045
oct113775746742
928285105487
1010200010210
114364704705
121b87b6782a
13c67279300
146ca948c5c
153ea71a3aa
hex25ff7cde2

10200010210 has 48 divisors (see below), whose sum is σ = 20566616040. Its totient is φ = 3636272640.

The previous prime is 10200010193. The next prime is 10200010283. The reversal of 10200010210 is 1201000201.

It can be written as a sum of positive squares in 12 ways, for example, as 954995409 + 9245014801 = 30903^2 + 96151^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200010193 and 10200010202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55051 + ... + 153070.

Almost surely, 210200010210 is an apocalyptic number.

10200010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200010210 is an abundant number, since it is smaller than the sum of its proper divisors (10366605830).

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

10200010210 is a wasteful number, since it uses less digits than its factorization.

10200010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208183 (or 208170 counting only the distinct ones).

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

Adding to 10200010210 its reverse (1201000201), we get a palindrome (11401010411).

The spelling of 10200010210 in words is "ten billion, two hundred million, ten thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 169 290 338 377 754 845 1690 1885 3770 4901 9802 24505 49010 208121 416242 1040605 2081210 2705573 5411146 6035509 12071018 13527865 27055730 30177545 35172449 60355090 70344898 78461617 156923234 175862245 351724490 392308085 784616170 1020001021 2040002042 5100005105 10200010210