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41121142331 = 194167799973
BaseRepresentation
bin100110010011000000…
…101101011000111011
310221010210200110122112
4212103000231120323
51133204003023311
630520224442535
72654006641223
oct462300553073
9127123613575
1041121142331
11164918a3955
127b7747944b
133b544265a9
141dc1451083
15110a14728b
hex99302d63b

41121142331 has 32 divisors (see below), whose sum is σ = 45577190400. Its totient is φ = 36961816320.

The previous prime is 41121142327. The next prime is 41121142333. The reversal of 41121142331 is 13324112114.

It is a cyclic number.

It is not a de Polignac number, because 41121142331 - 22 = 41121142327 is a prime.

It is a super-2 number, since 2×411211423312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41121142297 and 41121142306.

It is not an unprimeable number, because it can be changed into a prime (41121142333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4118261 + ... + 4128233.

It is an arithmetic number, because the mean of its divisors is an integer number (1424287200).

Almost surely, 241121142331 is an apocalyptic number.

41121142331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41121142331 is a deficient number, since it is larger than the sum of its proper divisors (4456048069).

41121142331 is a wasteful number, since it uses less digits than its factorization.

41121142331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179.

The product of its digits is 576, while the sum is 23.

Adding to 41121142331 its reverse (13324112114), we get a palindrome (54445254445).

The spelling of 41121142331 in words is "forty-one billion, one hundred twenty-one million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 19 41 67 79 779 1273 1501 2747 3239 5293 9973 52193 61541 100567 189487 217013 408893 668191 787867 4123247 7768967 12695629 14969473 27395831 32302547 52787089 520520789 613748393 1002954691 2164270649 41121142331