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41322012401 = 4122926916361
BaseRepresentation
bin100110011110111110…
…111101111011110001
310221122210122201120202
4212132332331323301
51134111413344101
630552202044545
72661666211235
oct463676757361
9127583581522
1041322012401
111658522057a
1280127a9755
133b86c26917
141ddddbc5c5
15111cac436b
hex99efbdef1

41322012401 has 16 divisors (see below), whose sum is σ = 42675368400. Its totient is φ = 39986457600.

The previous prime is 41322012301. The next prime is 41322012409. The reversal of 41322012401 is 10421022314.

It can be written as a sum of positive squares in 8 ways, for example, as 4735504225 + 36586508176 = 68815^2 + 191276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41322012401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41322012409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517461 + ... + 2533821.

It is an arithmetic number, because the mean of its divisors is an integer number (2667210525).

Almost surely, 241322012401 is an apocalyptic number.

41322012401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41322012401 is a deficient number, since it is larger than the sum of its proper divisors (1353355999).

41322012401 is a wasteful number, since it uses less digits than its factorization.

41322012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41322012401 its reverse (10421022314), we get a palindrome (51743034715).

The spelling of 41322012401 in words is "forty-one billion, three hundred twenty-two million, twelve thousand, four hundred one".

Divisors: 1 41 229 269 9389 11029 16361 61601 670801 2525641 3746669 4401109 153613429 180445469 1007853961 41322012401