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1322330121 = 327210927509
BaseRepresentation
bin100111011010001…
…0010100000001001
310102011012022220200
41032310102200021
510202004030441
6335114042413
744524422600
oct11664224011
93364168820
101322330121
1161946a212
1230aa19409
13180c55b78
14c7894a37
157b1517b6
hex4ed12809

1322330121 has 36 divisors (see below), whose sum is σ = 2242340100. Its totient is φ = 748657728.

The previous prime is 1322330117. The next prime is 1322330153. The reversal of 1322330121 is 1210332231.

1322330121 is a `hidden beast` number, since 1 + 322 + 330 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 433097721 + 889232400 = 20811^2 + 29820^2 .

It is not a de Polignac number, because 1322330121 - 22 = 1322330117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1322330094 and 1322330103.

It is not an unprimeable number, because it can be changed into a prime (1322330111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34315 + ... + 61823.

It is an arithmetic number, because the mean of its divisors is an integer number (62287225).

Almost surely, 21322330121 is an apocalyptic number.

It is an amenable number.

1322330121 is a deficient number, since it is larger than the sum of its proper divisors (920009979).

1322330121 is a wasteful number, since it uses less digits than its factorization.

1322330121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27638 (or 27628 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1322330121 is about 36363.8573448967. The cubic root of 1322330121 is about 1097.6063988807.

Adding to 1322330121 its reverse (1210332231), we get a palindrome (2532662352).

The spelling of 1322330121 in words is "one billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 109 147 327 441 763 981 2289 5341 6867 16023 27509 48069 82527 192563 247581 577689 1347941 1733067 2998481 4043823 8995443 12131469 20989367 26986329 62968101 146925569 188904303 440776707 1322330121