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201222211010000 = 245420122221101
BaseRepresentation
bin101101110000001010110010…
…011010000111110111010000
3222101110122200212021101022212
4231300022302122013313100
5202333311042004310000
61551544112501051252
760245552654430665
oct5560126232076720
9871418625241285
10201222211010000
115912a951298a54
121a69a2673b6b28
13883823333934b
1437992c7d39a6c
15183e3b8b89c35
hexb702b2687dd0

201222211010000 has 50 divisors (see below), whose sum is σ = 487179095100522. Its totient is φ = 80488884400000.

The previous prime is 201222211009973. The next prime is 201222211010053. The reversal of 201222211010000 is 10112222102.

It can be written as a sum of positive squares in 5 ways, for example, as 115923465434176 + 85298745575824 = 10766776^2 + 9235732^2 .

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 10061100551 + ... + 10061120550.

Almost surely, 2201222211010000 is an apocalyptic number.

201222211010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222211010000 is an abundant number, since it is smaller than the sum of its proper divisors (285956884090522).

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

201222211010000 is an equidigital number, since it uses as much as digits as its factorization.

201222211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122221129 (or 20122221108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201222211010000 its reverse (10112222102), we get a palindrome (201232323232102).

The spelling of 201222211010000 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred eleven 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 20122221101 40244442202 80488884404 100611105505 160977768808 201222211010 321955537616 402444422020 503055527525 804888844040 1006111055050 1609777688080 2012222110100 2515277637625 4024444220200 5030555275250 8048888440400 10061110550500 12576388188125 20122221101000 25152776376250 40244442202000 50305552752500 100611105505000 201222211010000