Search a number
-
+
1002000314 = 27210224493
BaseRepresentation
bin111011101110010…
…100111110111010
32120211102220000202
4323232110332322
54023003002224
6243232202202
733554601500
oct7356247672
92524386022
101002000314
1147466a737
1223b699362
1312c78a7c3
149710c670
155ce78eae
hex3bb94fba

1002000314 has 12 divisors (see below), whose sum is σ = 1748388474. Its totient is φ = 429428664.

The previous prime is 1002000301. The next prime is 1002000317. The reversal of 1002000314 is 4130002001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 887146225 + 114854089 = 29785^2 + 10717^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002000295 and 1002000304.

It is not an unprimeable number, because it can be changed into a prime (1002000317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5112149 + ... + 5112344.

Almost surely, 21002000314 is an apocalyptic number.

1002000314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1002000314 is a deficient number, since it is larger than the sum of its proper divisors (746388160).

1002000314 is a wasteful number, since it uses less digits than its factorization.

1002000314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224509 (or 10224502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002000314 is about 31654.3885425070. The cubic root of 1002000314 is about 1000.6663272427. Note that the first 3 decimals are identical.

Adding to 1002000314 its reverse (4130002001), we get a palindrome (5132002315).

The spelling of 1002000314 in words is "one billion, two million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 7 14 49 98 10224493 20448986 71571451 143142902 501000157 1002000314