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21022110001000 = 235321022110001
BaseRepresentation
bin1001100011110100101110…
…11001100010011101101000
32202102200201222202100121201
410301322113121202131220
510223411240130013000
6112413231330413544
74266540324464143
oct461722731423550
982380658670551
1021022110001000
116775477060a29
1224362861312b4
13b964b81371b4
14529692cbb05a
15266c7770896a
hex131e97662768

21022110001000 has 32 divisors (see below), whose sum is σ = 49191737404680. Its totient is φ = 8408844000000.

The previous prime is 21022110000967. The next prime is 21022110001051. The reversal of 21022110001000 is 10001122012.

It can be written as a sum of positive squares in 4 ways, for example, as 13807481768964 + 7214628232036 = 3715842^2 + 2686006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 7 ways as a sum of consecutive naturals, for example, 10511054001 + ... + 10511056000.

Almost surely, 221022110001000 is an apocalyptic number.

21022110001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022110001000 is an abundant number, since it is smaller than the sum of its proper divisors (28169627403680).

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

21022110001000 is a wasteful number, since it uses less digits than its factorization.

21022110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022110022 (or 21022110008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21022110001000 its reverse (10001122012), we get a palindrome (21032111123012).

The spelling of 21022110001000 in words is "twenty-one trillion, twenty-two billion, one hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21022110001 42044220002 84088440004 105110550005 168176880008 210221100010 420442200020 525552750025 840884400040 1051105500050 2102211000100 2627763750125 4204422000200 5255527500250 10511055000500 21022110001000