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22122012213 = 32721391672161
BaseRepresentation
bin10100100110100100…
…110001111000110101
32010002201110122202200
4110212210301320311
5330301213342323
614055051255113
71412130000300
oct244644617065
963081418680
1022122012213
119422332224
12435474a499
132117201a72
1410dc061b37
158971d0443
hex526931e35

22122012213 has 72 divisors (see below), whose sum is σ = 37680027840. Its totient is φ = 12469282560.

The previous prime is 22122012173. The next prime is 22122012281. The reversal of 22122012213 is 31221022122.

22122012213 is a `hidden beast` number, since 221 + 220 + 1 + 221 + 3 = 666.

It is not a de Polignac number, because 22122012213 - 210 = 22122011189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10235853 + ... + 10238013.

It is an arithmetic number, because the mean of its divisors is an integer number (523333720).

Almost surely, 222122012213 is an apocalyptic number.

It is an amenable number.

22122012213 is a deficient number, since it is larger than the sum of its proper divisors (15558015627).

22122012213 is a wasteful number, since it uses less digits than its factorization.

22122012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22122012213 its reverse (31221022122), we get a palindrome (53343034335).

Subtracting 22122012213 from its reverse (31221022122), we obtain a palindrome (9099009909).

The spelling of 22122012213 in words is "twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 49 63 139 147 167 417 441 501 973 1169 1251 1503 2161 2919 3507 6483 6811 8183 8757 10521 15127 19449 20433 23213 24549 45381 61299 69639 73647 105889 136143 162491 208917 300379 317667 360887 487473 901137 953001 1082661 1137437 1462419 2102653 2526209 2703411 3247983 3412311 6307959 7578627 10236933 14718571 17683463 18923877 22735881 44155713 50163293 53050389 132467139 150489879 159151167 351143051 451469637 1053429153 2458001357 3160287459 7374004071 22122012213