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105885411131 is a prime number
BaseRepresentation
bin110001010011101000…
…0110010011100111011
3101010022100002012112202
41202213100302130323
53213323131124011
6120350523500415
710435640100353
oct1424720623473
9333270065482
10105885411131
11409a6610645
121863098770b
139ca5c27536
1451a6961b63
152b4ac8a23b
hex18a743273b

105885411131 has 2 divisors, whose sum is σ = 105885411132. Its totient is φ = 105885411130.

The previous prime is 105885411109. The next prime is 105885411173. The reversal of 105885411131 is 131114588501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105885411131 - 222 = 105881216827 is a prime.

It is a super-2 number, since 2×1058854111312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105885411101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52942705565 + 52942705566.

It is an arithmetic number, because the mean of its divisors is an integer number (52942705566).

Almost surely, 2105885411131 is an apocalyptic number.

105885411131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105885411131 is an equidigital number, since it uses as much as digits as its factorization.

105885411131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 38.

Adding to 105885411131 its reverse (131114588501), we get a palindrome (236999999632).

The spelling of 105885411131 in words is "one hundred five billion, eight hundred eighty-five million, four hundred eleven thousand, one hundred thirty-one".