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200010022010000 = 245420001002201
BaseRepresentation
bin101101011110100001110110…
…010100000011110010010000
3222020011202211022210220201222
4231132201312110003302100
5202203431011113310000
61545215200255544212
760062150541066536
oct5536416624036220
9866152738726658
10200010022010000
11588028571a0844
121a52334782b068
13877ab306b4607
143756772a76156
15181cabdd48a85
hexb5e876503c90

200010022010000 has 50 divisors (see below), whose sum is σ = 484244264312622. Its totient is φ = 80004008800000.

The previous prime is 200010022009997. The next prime is 200010022010021. The reversal of 200010022010000 is 10220010002.

It can be written as a sum of positive squares in 5 ways, for example, as 47891050352896 + 152118971657104 = 6920336^2 + 12333652^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200010022010000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10000491101 + ... + 10000511100.

Almost surely, 2200010022010000 is an apocalyptic number.

200010022010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010022010000 is an abundant number, since it is smaller than the sum of its proper divisors (284234242302622).

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

200010022010000 is an equidigital number, since it uses as much as digits as its factorization.

200010022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001002229 (or 20001002208 counting only the distinct ones).

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

Adding to 200010022010000 its reverse (10220010002), we get a palindrome (200020242020002).

The spelling of 200010022010000 in words is "two hundred trillion, ten billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20001002201 40002004402 80004008804 100005011005 160008017608 200010022010 320016035216 400020044020 500025055025 800040088040 1000050110050 1600080176080 2000100220100 2500125275125 4000200440200 5000250550250 8000400880400 10000501100500 12500626375625 20001002201000 25001252751250 40002004402000 50002505502500 100005011005000 200010022010000