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121111441 = 1121000921
BaseRepresentation
bin1110011100000…
…00001110010001
322102220002122221
413032000032101
5222001031231
620003501041
73000300403
oct716001621
9272802587
10121111441
1162400900
1234687781
131c125a99
1412128b73
15a974d11
hex7380391

121111441 has 6 divisors (see below), whose sum is σ = 133122626. Its totient is φ = 110101200.

The previous prime is 121111439. The next prime is 121111469. The reversal of 121111441 is 144111121.

It can be written as a sum of positive squares in only one way, i.e., 112678225 + 8433216 = 10615^2 + 2904^2 .

It is not a de Polignac number, because 121111441 - 21 = 121111439 is a prime.

It is a super-2 number, since 2×1211114412 = 29335962282192962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121111421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500340 + ... + 500581.

Almost surely, 2121111441 is an apocalyptic number.

121111441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121111441 is a deficient number, since it is larger than the sum of its proper divisors (12011185).

121111441 is a wasteful number, since it uses less digits than its factorization.

121111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000943 (or 1000932 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The square root of 121111441 is about 11005.0643342054. The cubic root of 121111441 is about 494.7605426168.

Adding to 121111441 its reverse (144111121), we get a palindrome (265222562).

The spelling of 121111441 in words is "one hundred twenty-one million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 11 121 1000921 11010131 121111441