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21022110201001 = 7133135861125927
BaseRepresentation
bin1001100011110100101110…
…11010010011010010101001
32202102200202000010111222011
410301322113122103102221
510223411240202413001
6112413231334555521
74266540326256220
oct461722732232251
982380660114864
1021022110201001
116775477188218
122436286208ba1
13b964b81a7240
14529692d2dcb7
15266c77747d51
hex131e976934a9

21022110201001 has 32 divisors (see below), whose sum is σ = 25960663669248. Its totient is φ = 16576777751040.

The previous prime is 21022110200929. The next prime is 21022110201077. The reversal of 21022110201001 is 10010201122012.

It is not a de Polignac number, because 21022110201001 - 219 = 21022109676713 is a prime.

It is a super-3 number, since 3×210221102010013 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21022110201101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 166875900 + ... + 167001826.

It is an arithmetic number, because the mean of its divisors is an integer number (811270739664).

Almost surely, 221022110201001 is an apocalyptic number.

It is an amenable number.

21022110201001 is a deficient number, since it is larger than the sum of its proper divisors (4938553468247).

21022110201001 is a wasteful number, since it uses less digits than its factorization.

21022110201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132121.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21022110201001 its reverse (10010201122012), we get a palindrome (31032311323013).

The spelling of 21022110201001 in words is "twenty-one trillion, twenty-two billion, one hundred ten million, two hundred one thousand, one".

Divisors: 1 7 13 91 313 2191 4069 5861 28483 41027 76193 125927 533351 881489 1637051 1834493 11459357 12841451 23848409 39415151 166938863 275906057 512396963 738058147 3586778741 5166407029 9594755911 67163291377 231012200011 1617085400077 3003158600143 21022110201001