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13224332121 = 3721121357191
BaseRepresentation
bin11000101000011101…
…10100101101011001
31021010121220200021120
430110032310231121
5204040412111441
610024123155453
7645465653100
oct142416645531
937117820246
1013224332121
115676877500
122690975b89
1313299c81c0
148d6483037
15525eb5966
hex3143b4b59

13224332121 has 72 divisors (see below), whose sum is σ = 24280062912. Its totient is φ = 6341227200.

The previous prime is 13224332119. The next prime is 13224332141. The reversal of 13224332121 is 12123342231.

13224332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13224332121 - 21 = 13224332119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13224332091 and 13224332100.

It is not an unprimeable number, because it can be changed into a prime (13224332141) 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, 202636 + ... + 259826.

It is an arithmetic number, because the mean of its divisors is an integer number (337223096).

Almost surely, 213224332121 is an apocalyptic number.

13224332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13224332121 is a deficient number, since it is larger than the sum of its proper divisors (11055730791).

13224332121 is a wasteful number, since it uses less digits than its factorization.

13224332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57243 (or 57225 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13224332121 its reverse (12123342231), we get a palindrome (25347674352).

The spelling of 13224332121 in words is "thirteen billion, two hundred twenty-four million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 121 143 147 231 273 363 429 539 637 847 1001 1573 1617 1911 2541 3003 4719 5929 7007 11011 17787 21021 33033 57191 77077 171573 231231 400337 629101 743483 1201011 1887303 2230449 2802359 4403707 5204381 6920111 8178313 8407077 13211121 15613143 20760333 24534939 30825949 36430667 48440777 57248191 89961443 92477847 109292001 145322331 171744573 269884329 339085439 400737337 629730101 1017256317 1202212011 1889190303 4408110707 13224332121