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21121322144 = 2513227223667
BaseRepresentation
bin10011101010111011…
…011100110010100000
32000111222111100001112
4103222323130302200
5321224024302034
613411503122452
71345256163446
oct235273346240
960458440045
1021121322144
118a59487a3a
1241155a3428
131cb7ab2770
1410451b4b96
158394147ce
hex4eaedcca0

21121322144 has 48 divisors (see below), whose sum is σ = 44978740128. Its totient is φ = 9705315072.

The previous prime is 21121322143. The next prime is 21121322191. The reversal of 21121322144 is 44122312112.

It is a super-2 number, since 2×211213221442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121322141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17402 + ... + 206265.

It is an arithmetic number, because the mean of its divisors is an integer number (937057086).

Almost surely, 221121322144 is an apocalyptic number.

It is an amenable number.

21121322144 is an abundant number, since it is smaller than the sum of its proper divisors (23857417984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21121322144 is a wasteful number, since it uses less digits than its factorization.

21121322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223917 (or 223909 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

Adding to 21121322144 its reverse (44122312112), we get a palindrome (65243634256).

The spelling of 21121322144 in words is "twenty-one billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 227 416 454 908 1816 2951 3632 5902 7264 11804 23608 47216 94432 223667 447334 894668 1789336 2907671 3578672 5815342 7157344 11630684 23261368 46522736 50772409 93045472 101544818 203089636 406179272 660041317 812358544 1320082634 1624717088 2640165268 5280330536 10560661072 21121322144