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21120120222201 = 32711132344335689
BaseRepresentation
bin1001100110101011010010…
…10000110111000111111001
32202210001201111021110111100
410303111221100313013321
510232013001234102301
6112530241013522013
74306610160561240
oct463255120670771
982701644243440
1021120120222201
116802aa12a0840
122451279643309
13ba280763aa20
1453030d983957
152695b1dee286
hex1335694371f9

21120120222201 has 48 divisors (see below), whose sum is σ = 40960233175680. Its totient is φ = 10127530172160.

The previous prime is 21120120222163. The next prime is 21120120222203. The reversal of 21120120222201 is 10222202102112.

It is a happy number.

21120120222201 is a `hidden beast` number, since 2 + 1 + 120 + 120 + 222 + 201 = 666.

It is not a de Polignac number, because 21120120222201 - 26 = 21120120222137 is a prime.

It is a super-2 number, since 2×211201202222012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21120120222203) 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, 1172158836 + ... + 1172176853.

It is an arithmetic number, because the mean of its divisors is an integer number (853338191160).

Almost surely, 221120120222201 is an apocalyptic number.

21120120222201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21120120222201 is a deficient number, since it is larger than the sum of its proper divisors (19840112953479).

21120120222201 is a wasteful number, since it uses less digits than its factorization.

21120120222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344335726 (or 2344335723 counting only the distinct ones).

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

Adding to 21120120222201 its reverse (10222202102112), we get a palindrome (31342322324313).

It can be divided in two parts, 211201 and 20222201, that added together give a palindrome (20433402).

The spelling of 21120120222201 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 2344335689 7033007067 16410349823 21099021201 25787692579 30476363957 49231049469 77363077737 91429091871 147693148407 180513848053 213334547699 232089233211 274287275613 335240003527 541541544159 640003643097 1005720010581 1624624632477 1920010929291 2346680024689 3017160031743 7040040074067 21120120222201