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102312206241 = 37217101457887
BaseRepresentation
bin101111101001001001…
…0000101111110100001
3100210002022110120220220
41133102102011332201
53134013411044431
6115000201353253
710251251255400
oct1372222057641
9323068416826
10102312206241
113a432633953
12179b4198829
13985686970b
144d48189637
1529dc21cb96
hex17d2485fa1

102312206241 has 96 divisors (see below), whose sum is σ = 170249548032. Its totient is φ = 54299750400.

The previous prime is 102312206237. The next prime is 102312206257. The reversal of 102312206241 is 142602213201.

It is not a de Polignac number, because 102312206241 - 22 = 102312206237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102312206441) 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 95 ways as a sum of consecutive naturals, for example, 115345900 + ... + 115346786.

It is an arithmetic number, because the mean of its divisors is an integer number (1773432792).

Almost surely, 2102312206241 is an apocalyptic number.

It is an amenable number.

102312206241 is a deficient number, since it is larger than the sum of its proper divisors (67937341791).

102312206241 is a wasteful number, since it uses less digits than its factorization.

102312206241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102312206241 its reverse (142602213201), we get a palindrome (244914419442).

The spelling of 102312206241 in words is "one hundred two billion, three hundred twelve million, two hundred six thousand, two hundred forty-one".

Divisors: 1 3 7 17 21 49 51 101 119 147 303 357 457 707 833 887 1371 1717 2121 2499 2661 3199 4949 5151 6209 7769 9597 12019 14847 15079 18627 22393 23307 36057 43463 45237 46157 54383 67179 84133 89587 105553 130389 138471 163149 252399 268761 316659 323099 380681 405359 627109 738871 784669 969297 1142043 1216077 1522979 1881327 2216613 2261693 2354007 2837513 4389763 4568937 5492683 6785079 6891103 8512539 10660853 13169289 16478049 19862591 20673309 31982559 38448781 40941259 48237721 59587773 74625971 115346343 122823777 144713163 223877913 286588813 337664047 696001403 859766439 1012992141 2006121691 2088004209 4872009821 6018365073 14616029463 34104068747 102312206241