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1000165331 = 11149610229
BaseRepresentation
bin111011100111010…
…100111111010011
32120200222122220102
4323213110333103
54022020242311
6243125003015
733533156624
oct7347247723
92520878812
101000165331
11473627020
1223ab5346b
1312c297509
1496b91a4b
155cc1543b
hex3b9d4fd3

1000165331 has 8 divisors (see below), whose sum is σ = 1098414000. Its totient is φ = 903137440.

The previous prime is 1000165321. The next prime is 1000165343. The reversal of 1000165331 is 1335610001.

It is a happy number.

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-1000165331 is a prime.

It is a super-2 number, since 2×10001653312 = 2000661378668679122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000165321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303476 + ... + 306753.

It is an arithmetic number, because the mean of its divisors is an integer number (137301750).

Almost surely, 21000165331 is an apocalyptic number.

1000165331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000165331 is a deficient number, since it is larger than the sum of its proper divisors (98248669).

1000165331 is a wasteful number, since it uses less digits than its factorization.

1000165331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610389.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1000165331 is about 31625.3906062834. The cubic root of 1000165331 is about 1000.0551072965.

Adding to 1000165331 its reverse (1335610001), we get a palindrome (2335775332).

The spelling of 1000165331 in words is "one billion, one hundred sixty-five thousand, three hundred thirty-one".

Divisors: 1 11 149 1639 610229 6712519 90924121 1000165331