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214311564121 is a prime number
BaseRepresentation
bin1100011110010111110…
…1101111001101011001
3202111011202000110200211
43013211331233031121
512002402230022441
6242241532331121
721324561144514
oct3074575571531
9674152013624
10214311564121
1182986322146
1235650613aa1
1317295347605
14a530adbd7b
155894aeca81
hex31e5f6f359

214311564121 has 2 divisors, whose sum is σ = 214311564122. Its totient is φ = 214311564120.

The previous prime is 214311564119. The next prime is 214311564143. The reversal of 214311564121 is 121465113412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204474891721 + 9836672400 = 452189^2 + 99180^2 .

It is a cyclic number.

It is not a de Polignac number, because 214311564121 - 21 = 214311564119 is a prime.

Together with 214311564119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (214311567121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107155782060 + 107155782061.

It is an arithmetic number, because the mean of its divisors is an integer number (107155782061).

Almost surely, 2214311564121 is an apocalyptic number.

It is an amenable number.

214311564121 is a deficient number, since it is larger than the sum of its proper divisors (1).

214311564121 is an equidigital number, since it uses as much as digits as its factorization.

214311564121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5760, while the sum is 31.

Adding to 214311564121 its reverse (121465113412), we get a palindrome (335776677533).

The spelling of 214311564121 in words is "two hundred fourteen billion, three hundred eleven million, five hundred sixty-four thousand, one hundred twenty-one".