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21201222210201 = 3211243619973037
BaseRepresentation
bin1001101001000010010110…
…10100011001001010011001
32210001211001121222022211200
410310201023110121022121
510234330100341211301
6113031412414544413
74315511023235655
oct464411324311231
983054047868750
1021201222210201
11683442a24a800
122464b32508109
13baa360b6b337
14534204c17a65
1526b75bee7c86
hex13484b519299

21201222210201 has 72 divisors (see below), whose sum is σ = 34449921105600. Its totient is φ = 12548209988160.

The previous prime is 21201222210109. The next prime is 21201222210209. The reversal of 21201222210201 is 10201222210212.

It is a happy number.

21201222210201 is a `hidden beast` number, since 2 + 120 + 122 + 221 + 0 + 201 = 666.

It is not a de Polignac number, because 21201222210201 - 27 = 21201222210073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21201222210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290244055 + ... + 290317091.

Almost surely, 221201222210201 is an apocalyptic number.

It is an amenable number.

21201222210201 is a deficient number, since it is larger than the sum of its proper divisors (13248698895399).

21201222210201 is a wasteful number, since it uses less digits than its factorization.

21201222210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79307 (or 79293 counting only the distinct ones).

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

Adding to 21201222210201 its reverse (10201222210212), we get a palindrome (31402444420413).

The spelling of 21201222210201 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 11 33 43 99 121 129 363 387 473 1089 1419 4257 5203 6199 15609 18597 46827 55791 68189 73037 204567 219111 266557 613701 657333 750079 799671 803407 2250237 2399013 2410221 2932127 3140591 6750711 7230663 8796381 8837477 9421773 26389143 26512431 28265319 32253397 34546501 79537293 96760191 103639503 290280573 310918509 380011511 452756363 1140034533 1358269089 3420103599 4074807267 4980319993 14940959979 19468523609 44822879937 54783519923 58405570827 164350559769 175216712481 214153759699 493051679307 642461279097 1927383837291 2355691356689 7067074070067 21201222210201