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3002133201121 is a prime number
BaseRepresentation
bin101011101011111101000…
…101010100000011100001
3101122000000211021010021001
4223223331011110003201
5343141332044413441
610215054433232001
7426616442111245
oct53537505240341
911560024233231
103002133201121
11a58219a2130a
12405a00402601
1318a13b773aa2
14a5438346425
155315bb68731
hex2bafd1540e1

3002133201121 has 2 divisors, whose sum is σ = 3002133201122. Its totient is φ = 3002133201120.

The previous prime is 3002133201107. The next prime is 3002133201143. The reversal of 3002133201121 is 1211023312003.

3002133201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1582010528400 + 1420122672721 = 1257780^2 + 1191689^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002133201121 - 223 = 3002124812513 is a prime.

It is not a weakly prime, because it can be changed into another prime (3002133201181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501066600560 + 1501066600561.

It is an arithmetic number, because the mean of its divisors is an integer number (1501066600561).

Almost surely, 23002133201121 is an apocalyptic number.

It is an amenable number.

3002133201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002133201121 is an equidigital number, since it uses as much as digits as its factorization.

3002133201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3002133201121 its reverse (1211023312003), we get a palindrome (4213156513124).

The spelling of 3002133201121 in words is "three trillion, two billion, one hundred thirty-three million, two hundred one thousand, one hundred twenty-one".