Search a number
-
+
2780217001 = 101247711113
BaseRepresentation
bin1010010110110110…
…1011111010101001
321011202110122202001
42211231223322221
521143213421001
61135513411001
7125616311632
oct24555537251
97152418661
102780217001
1111a73a6201
12657109a61
13353cc1823
141c5354889
1511412d001
hexa5b6bea9

2780217001 has 8 divisors (see below), whose sum is σ = 2809130184. Its totient is φ = 2751331200.

The previous prime is 2780216993. The next prime is 2780217019. The reversal of 2780217001 is 1007120872.

It can be written as a sum of positive squares in 4 ways, for example, as 287811225 + 2492405776 = 16965^2 + 49924^2 .

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 2780217001 - 23 = 2780216993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2780217301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244621 + ... + 255733.

It is an arithmetic number, because the mean of its divisors is an integer number (351141273).

Almost surely, 22780217001 is an apocalyptic number.

It is an amenable number.

2780217001 is a deficient number, since it is larger than the sum of its proper divisors (28913183).

2780217001 is a wasteful number, since it uses less digits than its factorization.

2780217001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 2780217001 is about 52727.7630949768. The cubic root of 2780217001 is about 1406.1324525653.

Adding to 2780217001 its reverse (1007120872), we get a palindrome (3787337873).

The spelling of 2780217001 in words is "two billion, seven hundred eighty million, two hundred seventeen thousand, one".

Divisors: 1 101 2477 11113 250177 1122413 27526901 2780217001