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13222470121 = 72164272
BaseRepresentation
bin11000101000001111…
…01110000111101001
31021010111102002002121
430110013232013221
5204034423020441
610024015231241
7645444066400
oct142407560751
937114362077
1013222470121
115675815563
122690218521
1313294c5823
148d611a637
15525c48dd1
hex3141ee1e9

13222470121 has 9 divisors (see below), whose sum is σ = 15382177149. Its totient is φ = 11332855884.

The previous prime is 13222470113. The next prime is 13222470169. The reversal of 13222470121 is 12107422231.

The square root of 13222470121 is 114989.

It is a perfect power (a square), and thus also a powerful number.

13222470121 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 13222470121 - 23 = 13222470113 is a prime.

It is a super-2 number, since 2×132224701212 (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 (13222470421) 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 8 ways as a sum of consecutive naturals, for example, 796710 + ... + 813136.

Almost surely, 213222470121 is an apocalyptic number.

13222470121 is the 114989-th square number.

13222470121 is the 57495-th centered octagonal number.

It is an amenable number.

13222470121 is a deficient number, since it is larger than the sum of its proper divisors (2159707028).

13222470121 is an frugal number, since it uses more digits than its factorization.

13222470121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32868 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 13222470121 by its sum of digits (25), we get a square (330561753025 = 5749452).

Adding to 13222470121 its reverse (12107422231), we get a palindrome (25329892352).

The spelling of 13222470121 in words is "thirteen billion, two hundred twenty-two million, four hundred seventy thousand, one hundred twenty-one".

Divisors: 1 7 49 16427 114989 804923 269846329 1888924303 13222470121