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1221400417 is a prime number
BaseRepresentation
bin100100011001101…
…0001011101100001
310011010021120101111
41020303101131201
510000134303132
6321110503321
742160506106
oct11063213541
93133246344
101221400417
115774a3236
122a1064b41
13166078153
14b8300aad
1572366647
hex48cd1761

1221400417 has 2 divisors, whose sum is σ = 1221400418. Its totient is φ = 1221400416.

The previous prime is 1221400409. The next prime is 1221400457. The reversal of 1221400417 is 7140041221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988410721 + 232989696 = 31439^2 + 15264^2 .

It is an emirp because it is prime and its reverse (7140041221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221400417 - 23 = 1221400409 is a prime.

It is not a weakly prime, because it can be changed into another prime (1221400457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610700208 + 610700209.

It is an arithmetic number, because the mean of its divisors is an integer number (610700209).

Almost surely, 21221400417 is an apocalyptic number.

It is an amenable number.

1221400417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221400417 is an equidigital number, since it uses as much as digits as its factorization.

1221400417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1221400417 is about 34948.5395546080. The cubic root of 1221400417 is about 1068.9384227732.

Adding to 1221400417 its reverse (7140041221), we get a palindrome (8361441638).

The spelling of 1221400417 in words is "one billion, two hundred twenty-one million, four hundred thousand, four hundred seventeen".