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102444673131 = 3517611033947
BaseRepresentation
bin101111101101000101…
…1011010100001101011
3100210102112201121100000
41133122023122201223
53134301314020011
6115021252514043
710254450232263
oct1373213324153
9323375647300
10102444673131
113a4a0390219
1217a3061b923
139878139ca8
144d5b9cc7a3
1529e8b87356
hex17da2da86b

102444673131 has 96 divisors (see below), whose sum is σ = 166792324608. Its totient is φ = 62595555840.

The previous prime is 102444673109. The next prime is 102444673139. The reversal of 102444673131 is 131376444201.

102444673131 is a `hidden beast` number, since 10 + 2 + 4 + 446 + 73 + 131 = 666.

It is not a de Polignac number, because 102444673131 - 29 = 102444672619 is a prime.

It is a super-2 number, since 2×1024446731312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102444673139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25953100 + ... + 25957046.

It is an arithmetic number, because the mean of its divisors is an integer number (1737420048).

Almost surely, 2102444673131 is an apocalyptic number.

102444673131 is a deficient number, since it is larger than the sum of its proper divisors (64347651477).

102444673131 is a wasteful number, since it uses less digits than its factorization.

102444673131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 102444673131 in words is "one hundred two billion, four hundred forty-four million, six hundred seventy-three thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 61 81 103 153 183 243 309 459 549 927 1037 1377 1647 1751 2781 3111 3947 4131 4941 5253 6283 8343 9333 11841 14823 15759 18849 25029 27999 35523 47277 56547 67099 83997 106569 106811 141831 169641 201297 240767 251991 319707 320433 406541 425493 508923 603891 722301 959121 961299 1219623 1526769 1811673 2166903 2883897 3658869 4093039 5435019 6500709 6911197 8651691 10976607 12279117 16305057 19502127 20733591 24799001 25955073 32929821 36837351 58506381 62200773 74397003 98789463 110512053 186602319 223191009 331536159 421583017 559806957 669573027 994608477 1264749051 1679420871 2008719081 3794247153 6026157243 11382741459 34148224377 102444673131