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1221314401 is a prime number
BaseRepresentation
bin100100011001011…
…1100011101100001
310011010010012101201
41020302330131201
510000124030101
6321105001201
742160000246
oct11062743541
93133105351
101221314401
1157744464a
122a1023201
13166047c58
14b82bb5cd
157234ae01
hex48cbc761

1221314401 has 2 divisors, whose sum is σ = 1221314402. Its totient is φ = 1221314400.

The previous prime is 1221314399. The next prime is 1221314429. The reversal of 1221314401 is 1044131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 790959376 + 430355025 = 28124^2 + 20745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221314401 - 21 = 1221314399 is a prime.

Together with 1221314399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1221314431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610657200 + 610657201.

It is an arithmetic number, because the mean of its divisors is an integer number (610657201).

Almost surely, 21221314401 is an apocalyptic number.

It is an amenable number.

1221314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221314401 is an equidigital number, since it uses as much as digits as its factorization.

1221314401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1221314401 is about 34947.3089235781. The cubic root of 1221314401 is about 1068.9133291826.

Adding to 1221314401 its reverse (1044131221), we get a palindrome (2265445622).

The spelling of 1221314401 in words is "one billion, two hundred twenty-one million, three hundred fourteen thousand, four hundred one".