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21222002220201 = 3237614632256479
BaseRepresentation
bin1001101001101001000011…
…11001110101110010101001
32210010210200211020012122200
410310310201321311302221
510240200130032021301
6113045130410410413
74320144666351336
oct464644171656251
983123624205580
1021222002220201
116842222aa6892
122468b71730a09
13bac2c301a143
1453521694398d
1526c07648cc86
hex134d21e75ca9

21222002220201 has 48 divisors (see below), whose sum is σ = 32067721820160. Its totient is φ = 13510707154560.

The previous prime is 21222002220193. The next prime is 21222002220233. The reversal of 21222002220201 is 10202220022212.

21222002220201 is a `hidden beast` number, since 21 + 2 + 220 + 0 + 2 + 220 + 201 = 666.

It is not a de Polignac number, because 21222002220201 - 23 = 21222002220193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21222002220241) 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 47 ways as a sum of consecutive naturals, for example, 8276680 + ... + 10533158.

It is an arithmetic number, because the mean of its divisors is an integer number (668077537920).

Almost surely, 221222002220201 is an apocalyptic number.

It is an amenable number.

21222002220201 is a deficient number, since it is larger than the sum of its proper divisors (10845719599959).

21222002220201 is a wasteful number, since it uses less digits than its factorization.

21222002220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257046 (or 2257043 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222002220201 its reverse (10202220022212), we get a palindrome (31424222242413).

The spelling of 21222002220201 in words is "twenty-one trillion, two hundred twenty-two billion, two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 37 61 111 183 333 463 549 1389 2257 4167 6771 17131 20313 28243 51393 84729 154179 254187 1044991 2256479 3134973 6769437 9404919 20308311 83489723 137645219 250469169 412935657 751407507 1044749777 1238806971 3134249331 5092873103 9402747993 15278619309 38655741749 45835857927 63729736397 115967225247 191189209191 347901675741 573567627573 2358000246689 7074000740067 21222002220201