Search a number
-
+
71002220017 = 438918552971
BaseRepresentation
bin100001000100000001…
…1111110010111110001
320210021021012111021111
41002020003332113301
52130403032020032
652341251553321
75062333624621
oct1021003762761
9223237174244
1071002220017
11281259a1883
12119165bb841
136906c81151
143617b80881
151ca85cec47
hex10880fe5f1

71002220017 has 8 divisors (see below), whose sum is σ = 73469769120. Its totient is φ = 68571777120.

The previous prime is 71002219999. The next prime is 71002220021.

71002220017 is nontrivially palindromic in base 10.

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-71002220017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71002220017.

It is not an unprimeable number, because it can be changed into a prime (71002220057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9272659 + ... + 9280312.

It is an arithmetic number, because the mean of its divisors is an integer number (9183721140).

Almost surely, 271002220017 is an apocalyptic number.

It is an amenable number.

71002220017 is a deficient number, since it is larger than the sum of its proper divisors (2467549103).

71002220017 is a wasteful number, since it uses less digits than its factorization.

71002220017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18553103.

The product of its (nonzero) digits is 392, while the sum is 22.

The spelling of 71002220017 in words is "seventy-one billion, two million, two hundred twenty thousand, seventeen".

Divisors: 1 43 89 3827 18552971 797777753 1651214419 71002220017