Search a number
-
+
21222001221201 = 32113719313000317
BaseRepresentation
bin1001101001101001000011…
…10110000001111001010001
32210010210200202100110021200
410310310201312001321101
510240200124303034301
6113045130333141413
74320144655020654
oct464644166017121
983123622313250
1021222001221201
116842222484270
122468b7132a869
13bac2c2a5a511
1453521676389b
1526c076341c86
hex134d21d81e51

21222001221201 has 48 divisors (see below), whose sum is σ = 34362330020928. Its totient is φ = 12507717340800.

The previous prime is 21222001221163. The next prime is 21222001221247. The reversal of 21222001221201 is 10212210022212.

It is a happy number.

21222001221201 is a `hidden beast` number, since 21 + 2 + 220 + 0 + 1 + 221 + 201 = 666.

It is not a de Polignac number, because 21222001221201 - 210 = 21222001220177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21222001221271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5573095 + ... + 8573411.

It is an arithmetic number, because the mean of its divisors is an integer number (715881875436).

Almost surely, 221222001221201 is an apocalyptic number.

It is an amenable number.

21222001221201 is a deficient number, since it is larger than the sum of its proper divisors (13140328799727).

21222001221201 is a wasteful number, since it uses less digits than its factorization.

21222001221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002302 (or 3002299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222001221201 its reverse (10212210022212), we get a palindrome (31434211243413).

The spelling of 21222001221201 in words is "twenty-one trillion, two hundred twenty-two billion, one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 1931 3663 5793 17379 21241 63723 71447 191169 214341 643023 785917 2357751 3000317 7073253 9000951 27002853 33003487 99010461 111011729 297031383 333035187 999105561 1221129019 3663387057 5793612127 10990161171 17380836381 52142509143 63729733397 191189200191 214363648699 573567600573 643090946097 1929272838291 2358000135689 7074000407067 21222001221201