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102444424131 = 3723419375521
BaseRepresentation
bin101111101101000101…
…0011101101111000011
3100210102112020221202210
41133122022131233003
53134301233033011
6115021243313203
710254445144320
oct1373212355703
9323375227683
10102444424131
113a4a0230135
1217a3051b803
13987808085a
144d5b965b47
1529e8b386a6
hex17da29dbc3

102444424131 has 64 divisors (see below), whose sum is σ = 167074338816. Its totient is φ = 54560563200.

The previous prime is 102444424127. The next prime is 102444424241. The reversal of 102444424131 is 131424444201.

It is a happy number.

It is not a de Polignac number, because 102444424131 - 22 = 102444424127 is a prime.

It is a super-2 number, since 2×1024444241312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102444424531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18552651 + ... + 18558171.

It is an arithmetic number, because the mean of its divisors is an integer number (2610536544).

Almost surely, 2102444424131 is an apocalyptic number.

102444424131 is a deficient number, since it is larger than the sum of its proper divisors (64629914685).

102444424131 is a wasteful number, since it uses less digits than its factorization.

102444424131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102444424131 its reverse (131424444201), we get a palindrome (233868868332).

The spelling of 102444424131 in words is "one hundred two billion, four hundred forty-four million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 41 69 123 161 287 483 861 937 943 2811 2829 5521 6559 6601 16563 19677 19803 21551 38417 38647 64653 115251 115941 126983 150857 226361 268919 380949 452571 679083 806757 883591 888881 1584527 2650773 2666643 4753581 5173177 5206303 6185137 15519531 15618909 18555411 36212239 36444121 108636717 109332363 118983071 212100257 356949213 636300771 832881497 1484701799 2498644491 4454105397 4878305911 14634917733 34148141377 102444424131