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102311344141 = 2773374492441
BaseRepresentation
bin101111101001000111…
…0110011100000001101
3100210002020211210100021
41133102032303200031
53134013201003031
6115000131102141
710251241035106
oct1372216634015
9323066753307
10102311344141
113a4320a5176
12179b3a41951
1398566271b6
144d480033ad
1529dc0ec511
hex17d23b380d

102311344141 has 16 divisors (see below), whose sum is σ = 103257039600. Its totient is φ = 101371576320.

The previous prime is 102311344139. The next prime is 102311344189. The reversal of 102311344141 is 141443113201.

It can be written as a sum of positive squares in 8 ways, for example, as 21558755241 + 80752588900 = 146829^2 + 284170^2 .

It is a cyclic number.

It is not a de Polignac number, because 102311344141 - 21 = 102311344139 is a prime.

It is a super-2 number, since 2×1023113441412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311344841) 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 in 15 ways as a sum of consecutive naturals, for example, 41912481 + ... + 41914921.

It is an arithmetic number, because the mean of its divisors is an integer number (6453564975).

Almost surely, 2102311344141 is an apocalyptic number.

It is an amenable number.

102311344141 is a deficient number, since it is larger than the sum of its proper divisors (945695459).

102311344141 is a wasteful number, since it uses less digits than its factorization.

102311344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 102311344141 its reverse (141443113201), we get a palindrome (243754457342).

The spelling of 102311344141 in words is "one hundred two billion, three hundred eleven million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 277 337 449 2441 93349 124373 151313 676157 822617 1096009 41913701 227864909 303594493 369355033 102311344141