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103124442431 = 4779166716661
BaseRepresentation
bin110000000001010110…
…0100001110100111111
3100212011220211110111202
41200002230201310333
53142144324124211
6115212534410115
710310343204053
oct1400254416477
9325156743452
10103124442431
113a80a071a2a
1217ba020093b
139955c14c4a
144dc3dbbc63
152a386b053b
hex1802b21d3f

103124442431 has 16 divisors (see below), whose sum is σ = 106722109440. Its totient is φ = 99586949280.

The previous prime is 103124442403. The next prime is 103124442523. The reversal of 103124442431 is 134244421301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103124442431 is a prime.

It is a super-2 number, since 2×1031244424312 (a number of 23 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 = 103124442394 and 103124442403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103124442331) 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 15 ways as a sum of consecutive naturals, for example, 6181241 + ... + 6197901.

It is an arithmetic number, because the mean of its divisors is an integer number (6670131840).

Almost surely, 2103124442431 is an apocalyptic number.

103124442431 is a deficient number, since it is larger than the sum of its proper divisors (3597667009).

103124442431 is a wasteful number, since it uses less digits than its factorization.

103124442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 103124442431 its reverse (134244421301), we get a palindrome (237368863732).

The spelling of 103124442431 in words is "one hundred three billion, one hundred twenty-four million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 47 79 1667 3713 16661 78349 131693 783067 1316219 6189571 27773887 61862293 1305372689 2194137073 103124442431