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102315003520 = 275159867193
BaseRepresentation
bin101111101001001110…
…0110000111010000000
3100210002111201201001211
41133102130300322000
53134020120103040
6115000341335504
710251314115622
oct1372234607200
9323074651054
10102315003520
113a434174554
12179b5107594
139857308a02
144d486b6c12
1529dc5c18ea
hex17d2730e80

102315003520 has 32 divisors (see below), whose sum is σ = 244596806820. Its totient is φ = 40926001152.

The previous prime is 102315003481. The next prime is 102315003529. The reversal of 102315003520 is 25300513201.

It can be written as a sum of positive squares in 2 ways, for example, as 82148731456 + 20166272064 = 286616^2 + 142008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1023150035202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102315003491 and 102315003500.

It is not an unprimeable number, because it can be changed into a prime (102315003529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79932957 + ... + 79934236.

Almost surely, 2102315003520 is an apocalyptic number.

102315003520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102315003520 is an abundant number, since it is smaller than the sum of its proper divisors (142281803300).

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

102315003520 is an equidigital number, since it uses as much as digits as its factorization.

102315003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159867212 (or 159867200 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 102315003520 its reverse (25300513201), we get a palindrome (127615516721).

The spelling of 102315003520 in words is "one hundred two billion, three hundred fifteen million, three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 159867193 319734386 639468772 799335965 1278937544 1598671930 2557875088 3197343860 5115750176 6394687720 10231500352 12789375440 20463000704 25578750880 51157501760 102315003520