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200210012002 = 271113100005001
BaseRepresentation
bin1011101001110101110…
…0100101011101100010
3201010202222110101210201
42322131130211131202
511240012230341002
6231550351215414
720315251010620
oct2723534453542
9633688411721
10200210012002
11779aa372340
1232975b1756a
1315b589a0630
149993d4c510
15531bb0a087
hex2e9d725762

200210012002 has 32 divisors (see below), whose sum is σ = 403220168064. Its totient is φ = 72003600000.

The previous prime is 200210011997. The next prime is 200210012017.

200210012002 is nontrivially palindromic in base 10.

200210012002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200210012002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50000499 + ... + 50004502.

It is an arithmetic number, because the mean of its divisors is an integer number (12600630252).

Almost surely, 2200210012002 is an apocalyptic number.

200210012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200210012002 is an abundant number, since it is smaller than the sum of its proper divisors (203010156062).

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

200210012002 is a wasteful number, since it uses less digits than its factorization.

200210012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005034.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 2002100 and 12002, that added together give a palindrome (2014102).

The spelling of 200210012002 in words is "two hundred billion, two hundred ten million, twelve thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 100005001 200010002 700035007 1100055011 1300065013 1400070014 2200110022 2600130026 7700385077 9100455091 14300715143 15400770154 18200910182 28601430286 100105006001 200210012002