Search a number
-
+
1002115314 = 2346185897
BaseRepresentation
bin111011101110110…
…001000011110010
32120211122201210000
4323232301003302
54023020142224
6243234450430
733555560664
oct7356610362
92524581700
101002115314
11474739082
1223b733a16
1312c7cac55
149713c534
155ce9d0c9
hex3bbb10f2

1002115314 has 20 divisors (see below), whose sum is σ = 2245480974. Its totient is φ = 334038384.

The previous prime is 1002115297. The next prime is 1002115321. The reversal of 1002115314 is 4135112001.

It can be written as a sum of positive squares in only one way, i.e., 999634689 + 2480625 = 31617^2 + 1575^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3092787 + ... + 3093110.

Almost surely, 21002115314 is an apocalyptic number.

1002115314 is an abundant number, since it is smaller than the sum of its proper divisors (1243365660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002115314 is an equidigital number, since it uses as much as digits as its factorization.

1002115314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185911 (or 6185902 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1002115314 is about 31656.2049841733. The cubic root of 1002115314 is about 1000.7046080775.

Adding to 1002115314 its reverse (4135112001), we get a palindrome (5137227315).

The spelling of 1002115314 in words is "one billion, two million, one hundred fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 6185897 12371794 18557691 37115382 55673073 111346146 167019219 334038438 501057657 1002115314