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102350310540 = 22354348018263
BaseRepresentation
bin101111101010010001…
…1011100110010001100
3100210011222011111012020
41133110203130302030
53134103134414130
6115004042210140
710252223166552
oct1372443346214
9323158144166
10102350310540
113a45209a205
1217a04ab3950
13986171b43a
144d4d267bd2
1529e0747e10
hex17d48dcc8c

102350310540 has 96 divisors (see below), whose sum is σ = 293342117376. Its totient is φ = 26649907200.

The previous prime is 102350310487. The next prime is 102350310553. The reversal of 102350310540 is 45013053201.

It is a self number, because there is not a number n which added to its sum of digits gives 102350310540.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12382449 + ... + 12390711.

It is an arithmetic number, because the mean of its divisors is an integer number (3055647056).

Almost surely, 2102350310540 is an apocalyptic number.

102350310540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102350310540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146671058688).

102350310540 is an abundant number, since it is smaller than the sum of its proper divisors (190991806836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102350310540 is a wasteful number, since it uses less digits than its factorization.

102350310540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13117 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 102350310540 its reverse (45013053201), we get a palindrome (147363363741).

The spelling of 102350310540 in words is "one hundred two billion, three hundred fifty million, three hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4801 8263 9602 14403 16526 19204 24005 24789 28806 33052 41315 48010 49578 57612 72015 82630 96020 99156 123945 144030 165260 206443 247890 288060 355309 412886 495780 619329 710618 825772 1032215 1065927 1238658 1421236 1776545 2064430 2131854 2477316 3096645 3553090 4128860 4263708 5329635 6193290 7106180 10659270 12386580 21318540 39670663 79341326 119011989 158682652 198353315 238023978 396706630 476047956 595059945 793413260 1190119890 1705838509 2380239780 3411677018 5117515527 6823354036 8529192545 10235031054 17058385090 20470062108 25587577635 34116770180 51175155270 102350310540