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1221122321 is a prime number
BaseRepresentation
bin100100011001000…
…1101100100010001
310011002202102220122
41020302031210101
510000101403241
6321100520025
742155240246
oct11062154421
93132672818
101221122321
11577323301
122a0b50015
13165cab6b3
14b826b5cd
157230e04b
hex48c8d911

1221122321 has 2 divisors, whose sum is σ = 1221122322. Its totient is φ = 1221122320.

The previous prime is 1221122317. The next prime is 1221122327. The reversal of 1221122321 is 1232211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1019908096 + 201214225 = 31936^2 + 14185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221122321 - 22 = 1221122317 is a prime.

It is a super-2 number, since 2×12211223212 = 2982279445688854082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221122321.

It is not a weakly prime, because it can be changed into another prime (1221122327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610561160 + 610561161.

It is an arithmetic number, because the mean of its divisors is an integer number (610561161).

Almost surely, 21221122321 is an apocalyptic number.

It is an amenable number.

1221122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221122321 is an equidigital number, since it uses as much as digits as its factorization.

1221122321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 17.

The square root of 1221122321 is about 34944.5606783087. The cubic root of 1221122321 is about 1068.8572891117.

Adding to 1221122321 its reverse (1232211221), we get a palindrome (2453333542).

Subtracting 1221122321 from its reverse (1232211221), we obtain a square (11088900 = 33302).

It can be divided in two parts, 1221 and 122321, that multiplied together give a palindrome (149353941).

The spelling of 1221122321 in words is "one billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty-one".