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102315003121 = 4153354113297
BaseRepresentation
bin101111101001001110…
…0110000110011110001
3100210002111201200112001
41133102130300303301
53134020120044441
6115000341334001
710251314114512
oct1372234606361
9323074650461
10102315003121
113a434174221
12179b5107301
139857308786
144d486b6a09
1529dc5c1731
hex17d2730cf1

102315003121 has 16 divisors (see below), whose sum is σ = 106826238288. Its totient is φ = 97901107200.

The previous prime is 102315003071. The next prime is 102315003137. The reversal of 102315003121 is 121300513201.

It can be written as a sum of positive squares in 8 ways, for example, as 29846363121 + 72468640000 = 172761^2 + 269200^2 .

It is a cyclic number.

It is not a de Polignac number, because 102315003121 - 29 = 102315002609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102315000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7687945 + ... + 7701241.

It is an arithmetic number, because the mean of its divisors is an integer number (6676639893).

Almost surely, 2102315003121 is an apocalyptic number.

It is an amenable number.

102315003121 is a deficient number, since it is larger than the sum of its proper divisors (4511235167).

102315003121 is a wasteful number, since it uses less digits than its factorization.

102315003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 102315003121 its reverse (121300513201), we get a palindrome (223615516322).

The spelling of 102315003121 in words is "one hundred two billion, three hundred fifteen million, three thousand, one hundred twenty-one".

Divisors: 1 41 53 2173 3541 13297 145181 187673 545177 704741 7694593 28894381 47084677 1930471757 2495487881 102315003121