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1221131141 is a prime number
BaseRepresentation
bin100100011001000…
…1111101110000101
310011002202220000022
41020302033232011
510000102144031
6321101024525
742155305046
oct11062175605
93132686008
101221131141
1157732999a
122a0b55145
13165cb2709
14b82708cd
157231197b
hex48c8fb85

1221131141 has 2 divisors, whose sum is σ = 1221131142. Its totient is φ = 1221131140.

The previous prime is 1221131113. The next prime is 1221131143. The reversal of 1221131141 is 1411311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1161378241 + 59752900 = 34079^2 + 7730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221131141 is a prime.

It is a super-2 number, since 2×12211311412 = 2982322527039923762, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1221131143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221131143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610565570 + 610565571.

It is an arithmetic number, because the mean of its divisors is an integer number (610565571).

Almost surely, 21221131141 is an apocalyptic number.

It is an amenable number.

1221131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221131141 is an equidigital number, since it uses as much as digits as its factorization.

1221131141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 17.

The square root of 1221131141 is about 34944.6868779790. The cubic root of 1221131141 is about 1068.8598625090.

Adding to 1221131141 its reverse (1411311221), we get a palindrome (2632442362).

The spelling of 1221131141 in words is "one billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred forty-one".