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102316353 = 3174015003
BaseRepresentation
bin1100001100100…
…11100101000001
321010112012122120
412012103211001
5202143110403
614052554453
72351450256
oct606234501
9233465576
10102316353
1152833877
122a322a29
1318274c29
14d83542d
158eb0e53
hex6193941

102316353 has 16 divisors (see below), whose sum is σ = 144835776. Its totient is φ = 64025600.

The previous prime is 102316343. The next prime is 102316369. The reversal of 102316353 is 353613201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102316353 - 210 = 102315329 is a prime.

It is a super-3 number, since 3×1023163533 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102316343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17950 + ... + 22952.

It is an arithmetic number, because the mean of its divisors is an integer number (9052236).

Almost surely, 2102316353 is an apocalyptic number.

It is an amenable number.

102316353 is a deficient number, since it is larger than the sum of its proper divisors (42519423).

102316353 is a wasteful number, since it uses less digits than its factorization.

102316353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 102316353 is about 10115.1546206670. The cubic root of 102316353 is about 467.7154152288.

Adding to 102316353 its reverse (353613201), we get a palindrome (455929554).

The spelling of 102316353 in words is "one hundred two million, three hundred sixteen thousand, three hundred fifty-three".

Divisors: 1 3 17 51 401 1203 5003 6817 15009 20451 85051 255153 2006203 6018609 34105451 102316353