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1000352097 = 321725572
BaseRepresentation
bin111011101000000…
…010100101100001
32120201100011002200
4323220002211201
54022042231342
6243133003413
733534565263
oct7350024541
92521304080
101000352097
11473744378
1223b023569
1312c331524
1496bddb33
155cc5094c
hex3ba02961

1000352097 has 18 divisors (see below), whose sum is σ = 1530548838. Its totient is φ = 627426432.

The previous prime is 1000352081. The next prime is 1000352117. The reversal of 1000352097 is 7902530001.

It can be written as a sum of positive squares in 3 ways, for example, as 204604416 + 795747681 = 14304^2 + 28209^2 .

It is not a de Polignac number, because 1000352097 - 24 = 1000352081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000352097.

It is not an unprimeable number, because it can be changed into a prime (1000352047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389943 + ... + 392499.

It is an arithmetic number, because the mean of its divisors is an integer number (85030491).

Almost surely, 21000352097 is an apocalyptic number.

1000352097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1000352097 is a deficient number, since it is larger than the sum of its proper divisors (530196741).

1000352097 is an frugal number, since it uses more digits than its factorization.

1000352097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1000352097 is about 31628.3432541131. The cubic root of 1000352097 is about 1000.1173518947.

Adding to 1000352097 its reverse (7902530001), we get a palindrome (8902882098).

The spelling of 1000352097 in words is "one billion, three hundred fifty-two thousand, ninety-seven".

Divisors: 1 3 9 17 51 153 2557 7671 23013 43469 130407 391221 6538249 19614747 58844241 111150233 333450699 1000352097