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213002232121 = 728095373281
BaseRepresentation
bin1100011001011111101…
…1000010000100111001
3202100210111021111212001
43012113323002010321
511442212032411441
6241504001021001
721250252046200
oct3062773020471
9670714244761
10213002232121
1182374230688
1235346024761
1317116cc2b53
14a448c6c237
155819bb7731
hex3197ec2139

213002232121 has 12 divisors (see below), whose sum is σ = 248084429940. Its totient is φ = 182347630080.

The previous prime is 213002232119. The next prime is 213002232151. The reversal of 213002232121 is 121232200312.

213002232121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139083497721 + 73918734400 = 372939^2 + 271880^2 .

It is not a de Polignac number, because 213002232121 - 21 = 213002232119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213002232151) 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 11 ways as a sum of consecutive naturals, for example, 2647000 + ... + 2726281.

It is an arithmetic number, because the mean of its divisors is an integer number (20673702495).

Almost surely, 2213002232121 is an apocalyptic number.

It is an amenable number.

213002232121 is a deficient number, since it is larger than the sum of its proper divisors (35082197819).

213002232121 is an equidigital number, since it uses as much as digits as its factorization.

213002232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374104 (or 5374097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213002232121 its reverse (121232200312), we get a palindrome (334234432433).

The spelling of 213002232121 in words is "two hundred thirteen billion, two million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 49 809 5663 39641 5373281 37612967 263290769 4346984329 30428890303 213002232121