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21121211210211 = 3272431709651733
BaseRepresentation
bin1001100110101101010100…
…10010101001100111100011
32202210011112112011101200200
410303112222102221213203
510232022220032211321
6112530541145320243
74306646206041300
oct463265222514743
982704475141620
1021121211210211
116803501110222
122451522a96083
13ba294c684768
145303b48180a7
15269627aa4d26
hex1335aa4a99e3

21121211210211 has 72 divisors (see below), whose sum is σ = 36336021424560. Its totient is φ = 11781666981504.

The previous prime is 21121211210189. The next prime is 21121211210221. The reversal of 21121211210211 is 11201211212112.

It is a happy number.

21121211210211 is a `hidden beast` number, since 2 + 11 + 21 + 211 + 210 + 211 = 666.

It is not a de Polignac number, because 21121211210211 - 226 = 21121144101347 is a prime.

It is a super-2 number, since 2×211212112102112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121211210221) 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 71 ways as a sum of consecutive naturals, for example, 32081901 + ... + 32733633.

It is an arithmetic number, because the mean of its divisors is an integer number (504666964230).

Almost surely, 221121211210211 is an apocalyptic number.

21121211210211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21121211210211 is a deficient number, since it is larger than the sum of its proper divisors (15214810214349).

21121211210211 is a wasteful number, since it uses less digits than its factorization.

21121211210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653505 (or 653495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21121211210211 its reverse (11201211212112), we get a palindrome (32322422422323).

The spelling of 21121211210211 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, two hundred eleven".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 1709 2107 2709 5127 6321 11963 15381 18963 35889 73487 83741 107667 220461 251223 514409 651733 661383 753669 1543227 1955199 3600863 4562131 4629681 5865597 10802589 13686393 28024519 31934917 32407767 41059179 84073557 95804751 196171633 252220671 287414253 588514899 1113811697 1373201431 1765544697 3341435091 4119604293 7796681879 10024305273 12358812879 23390045637 47893902971 54576773153 70170136911 143681708913 163730319459 335257320797 431045126739 491190958377 1005771962391 2346801245579 3017315887173 7040403736737 21121211210211