Search a number
-
+
1002022200001 = 17132144619593
BaseRepresentation
bin11101001010011010010…
…11010110001011000001
310112210101122112211101101
432211031023112023001
5112404120140400001
62044153405134401
7132252021111604
oct16451513261301
93483348484341
101002022200001
11356a56455769
1214224725a401
137364b2167a4
14366d8c4033b
151b0e9061a01
hexe94d2d62c1

1002022200001 has 8 divisors (see below), whose sum is σ = 1061767858824. Its totient is φ = 942365783040.

The previous prime is 1002022199987. The next prime is 1002022200029. The reversal of 1002022200001 is 1000022202001.

It can be written as a sum of positive squares in 4 ways, for example, as 191213798400 + 810808401601 = 437280^2 + 900449^2 .

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 1002022200001 - 231 = 999874716353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002022200061) 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, 22287340 + ... + 22332253.

It is an arithmetic number, because the mean of its divisors is an integer number (132720982353).

Almost surely, 21002022200001 is an apocalyptic number.

It is an amenable number.

1002022200001 is a deficient number, since it is larger than the sum of its proper divisors (59745658823).

1002022200001 is a wasteful number, since it uses less digits than its factorization.

1002022200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44620931.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002022200001 its reverse (1000022202001), we get a palindrome (2002044402002).

The spelling of 1002022200001 in words is "one trillion, two billion, twenty-two million, two hundred thousand, one".

Divisors: 1 17 1321 22457 44619593 758533081 58942482353 1002022200001