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21122212241 = 131795575621
BaseRepresentation
bin10011101010111110…
…110110000110010001
32000112001011120001002
4103222332312012101
5321224241242431
613411534151345
71345266561464
oct235276660621
960461146032
1021122212241
118a59a35759
124115952555
131cb8034950
1410453672db
1583953d3cb
hex4eafb6191

21122212241 has 8 divisors (see below), whose sum is σ = 24085056744. Its totient is φ = 18350519040.

The previous prime is 21122212231. The next prime is 21122212247. The reversal of 21122212241 is 14221222112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 817102225 + 20305110016 = 28585^2 + 142496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21122212241 - 210 = 21122211217 is a prime.

It is a super-2 number, since 2×211222122412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122212247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47787590 + ... + 47788031.

It is an arithmetic number, because the mean of its divisors is an integer number (3010632093).

Almost surely, 221122212241 is an apocalyptic number.

It is an amenable number.

21122212241 is a deficient number, since it is larger than the sum of its proper divisors (2962844503).

21122212241 is a wasteful number, since it uses less digits than its factorization.

21122212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95575651.

The product of its digits is 256, while the sum is 20.

Adding to 21122212241 its reverse (14221222112), we get a palindrome (35343434353).

The spelling of 21122212241 in words is "twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 13 17 221 95575621 1242483073 1624785557 21122212241