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21212201102211 = 3274378714876691
BaseRepresentation
bin1001101001010110110011…
…01101100010101110000011
32210002212101202200211100200
410310223121231202232003
510240020041440232321
6113040430050420243
74316350055256330
oct464533155425603
983085352624320
1021212201102211
116839053580879
122467097291683
13bab3c05b5142
14534966d91987
1526bba0cb7d26
hex134ad9b62b83

21212201102211 has 96 divisors (see below), whose sum is σ = 35906336514048. Its totient is φ = 11814606578880.

The previous prime is 21212201102179. The next prime is 21212201102269. The reversal of 21212201102211 is 11220110221212.

21212201102211 is a `hidden beast` number, since 2 + 121 + 220 + 110 + 2 + 211 = 666.

It is not a de Polignac number, because 21212201102211 - 25 = 21212201102179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21212201102311) 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 95 ways as a sum of consecutive naturals, for example, 3170255376 + ... + 3170262066.

It is an arithmetic number, because the mean of its divisors is an integer number (374024338688).

Almost surely, 221212201102211 is an apocalyptic number.

21212201102211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21212201102211 is a deficient number, since it is larger than the sum of its proper divisors (14694135411837).

21212201102211 is a wasteful number, since it uses less digits than its factorization.

21212201102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9021 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212201102211 its reverse (11220110221212), we get a palindrome (32432311323423).

The spelling of 21212201102211 in words is "twenty-one trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 43 63 129 301 387 787 903 1487 2361 2709 4461 5509 6691 7083 10409 13383 16527 20073 31227 33841 46837 49581 60219 63941 93681 101523 140511 191823 236887 287713 304569 421533 447587 575469 710661 863139 1170269 1342761 2013991 2131983 2589417 3510807 4028283 5265817 6041973 8191883 9949517 10532421 15797451 18125919 24575649 29848551 36860719 47392353 50321567 69646619 73726947 89545653 110582157 150964701 208939857 226430131 331746471 352250969 427829231 452894103 626819571 679290393 1056752907 1283487693 1585010917 2037871179 2994804617 3170258721 3850463079 4755032751 7830269879 8984413851 14265098253 23490809637 26953241553 54811889153 70472428911 164435667459 336701604797 493307002377 1010104814391 2356911233579 3030314443173 7070733700737 21212201102211