Search a number
-
+
1016014217 = 2940218713
BaseRepresentation
bin111100100011110…
…010010110001001
32121210210212111012
4330203302112021
54040044423332
6244452413305
734114656401
oct7443622611
92553725435
101016014217
11481571579
12244317235
1313265635a
1498d19801
155e2e63b2
hex3c8f2589

1016014217 has 8 divisors (see below), whose sum is σ = 1051431240. Its totient is φ = 980622720.

The previous prime is 1016014199. The next prime is 1016014249. The reversal of 1016014217 is 7124106101.

It is a happy number.

1016014217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 185940496 + 830073721 = 13636^2 + 28811^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1016014217 - 214 = 1015997833 is a prime.

It is a super-2 number, since 2×10160142172 = 2064569778292246178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1016014192 and 1016014201.

It is not an unprimeable number, because it can be changed into a prime (1016014267) 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, 112253 + ... + 120965.

It is an arithmetic number, because the mean of its divisors is an integer number (131428905).

Almost surely, 21016014217 is an apocalyptic number.

It is an amenable number.

1016014217 is a deficient number, since it is larger than the sum of its proper divisors (35417023).

1016014217 is an equidigital number, since it uses as much as digits as its factorization.

1016014217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1016014217 is about 31874.9779137178. The cubic root of 1016014217 is about 1005.3098281560.

The spelling of 1016014217 in words is "one billion, sixteen million, fourteen thousand, two hundred seventeen".

Divisors: 1 29 4021 8713 116609 252677 35034973 1016014217