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21241222311 = 3192139149947
BaseRepresentation
bin10011110010000100…
…110101010010100111
32000211100002220011110
4103302010311102213
5322000223103221
613431425040103
71351243260561
oct236204652247
960740086143
1021241222311
119010130791
124149786033
1320068a30ca
1410570a6331
15844bea776
hex4f21354a7

21241222311 has 48 divisors (see below), whose sum is σ = 30339792000. Its totient is φ = 13215635136.

The previous prime is 21241222309. The next prime is 21241222333. The reversal of 21241222311 is 11322214212.

It is a happy number.

It is not a de Polignac number, because 21241222311 - 21 = 21241222309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21241222111) 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 47 ways as a sum of consecutive naturals, for example, 22429540 + ... + 22430486.

It is an arithmetic number, because the mean of its divisors is an integer number (632079000).

Almost surely, 221241222311 is an apocalyptic number.

21241222311 is a deficient number, since it is larger than the sum of its proper divisors (9098569689).

21241222311 is a wasteful number, since it uses less digits than its factorization.

21241222311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1257 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 21241222311 its reverse (11322214212), we get a palindrome (32563436523).

The spelling of 21241222311 in words is "twenty-one billion, two hundred forty-one million, two hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 19 57 139 149 361 417 447 947 1083 2641 2831 2841 7923 8493 17993 20711 50179 53789 53979 62133 131633 141103 150537 161367 341867 393509 394899 423309 1025601 1180527 2501027 2680957 7476671 7503081 8042871 19613317 22430013 47519513 50938183 58839951 142558539 152814549 372653023 1117959069 7080407437 21241222311