Search a number
-
+
2002131101 = 72715711753
BaseRepresentation
bin111011101010110…
…0001100010011101
312011112100210112202
41313111201202131
513100021143401
6530400341245
7100420555625
oct16725414235
95145323482
102002131101
11938172803
1247a614825
1325ba42379
1414dc91885
15bab8406b
hex7756189d

2002131101 has 8 divisors (see below), whose sum is σ = 2007305664. Its totient is φ = 1996964640.

The previous prime is 2002131083. The next prime is 2002131143. The reversal of 2002131101 is 1011312002.

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 2002131101 - 210 = 2002130077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002131151) 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, 1141241 + ... + 1142993.

It is an arithmetic number, because the mean of its divisors is an integer number (250913208).

Almost surely, 22002131101 is an apocalyptic number.

It is an amenable number.

2002131101 is a deficient number, since it is larger than the sum of its proper divisors (5174563).

2002131101 is a wasteful number, since it uses less digits than its factorization.

2002131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2002131101 is about 44745.1796398227. The cubic root of 2002131101 is about 1260.3683942114.

Adding to 2002131101 its reverse (1011312002), we get a palindrome (3013443103).

The spelling of 2002131101 in words is "two billion, two million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 727 1571 1753 1142117 1274431 2753963 2002131101