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102319409 = 1372932549
BaseRepresentation
bin1100001100101…
…00010100110001
321010112100211202
412012110110301
5202143210114
614053020545
72351462213
oct606242461
9233470752
10102319409
11528360a5
122a324755
131827643a
14d8365b3
158eb1cde
hex6194531

102319409 has 8 divisors (see below), whose sum is σ = 103458600. Its totient is φ = 101186176.

The previous prime is 102319369. The next prime is 102319417. The reversal of 102319409 is 904913201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69222400 + 33097009 = 8320^2 + 5753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102319409 is a prime.

It is a super-2 number, since 2×1023194092 = 20938522916218562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102319439) 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 7 ways as a sum of consecutive naturals, for example, 38867 + ... + 41415.

It is an arithmetic number, because the mean of its divisors is an integer number (12932325).

Almost surely, 2102319409 is an apocalyptic number.

It is an amenable number.

102319409 is a deficient number, since it is larger than the sum of its proper divisors (1139191).

102319409 is a wasteful number, since it uses less digits than its factorization.

102319409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 102319409 is about 10115.3056800079. The cubic root of 102319409 is about 467.7200717802.

The spelling of 102319409 in words is "one hundred two million, three hundred nineteen thousand, four hundred nine".

Divisors: 1 137 293 2549 40141 349213 746857 102319409