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21211201201001 = 7192910751396299
BaseRepresentation
bin1001101001010100111100…
…00111001110001101101001
32210002202211002012120202112
410310222132013032031221
510240011020001413001
6113040142531212105
74316313224246420
oct464523607161551
983082732176675
1021211201201001
116838690115239
122466a58447035
13bab2913b0c16
145348b026c2b7
1526bb43105cbb
hex134a9e1ce369

21211201201001 has 32 divisors (see below), whose sum is σ = 26643841920000. Its totient is φ = 16474774946112.

The previous prime is 21211201200977. The next prime is 21211201201009. The reversal of 21211201201001 is 10010210211212.

It is not a de Polignac number, because 21211201201001 - 222 = 21211197006697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211201201009) 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, 25285451 + ... + 26110848.

It is an arithmetic number, because the mean of its divisors is an integer number (832620060000).

Almost surely, 221211201201001 is an apocalyptic number.

It is an amenable number.

21211201201001 is a deficient number, since it is larger than the sum of its proper divisors (5432640718999).

21211201201001 is a wasteful number, since it uses less digits than its factorization.

21211201201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51396461.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21211201201001 its reverse (10010210211212), we get a palindrome (31221411412213).

The spelling of 21211201201001 in words is "twenty-one trillion, two hundred eleven billion, two hundred one million, two hundred one thousand, one".

Divisors: 1 7 19 29 107 133 203 551 749 2033 3103 3857 14231 21721 58957 412699 51396299 359774093 976529681 1490492671 5499403993 6835707767 10433448697 28319360749 38495827951 104488675867 159482715797 198235525243 731420731069 1116379010579 3030171600143 21211201201001