Search a number
-
+
2002132122003 = 3213131425930671
BaseRepresentation
bin11101001000101000010…
…111111011100110010011
321002101212000210212111200
4131020220113323212103
5230300331310401003
64131433343442243
7264435462146136
oct35105027734623
97071760725450
102002132122003
11702110429692
12284039bb6383
13116a531bb020
146cc91adc21d
153713028c6a3
hex1d2285fb993

2002132122003 has 48 divisors (see below), whose sum is σ = 3139041185280. Its totient is φ = 1222349169600.

The previous prime is 2002132121959. The next prime is 2002132122047. The reversal of 2002132122003 is 3002212312002.

It is an interprime number because it is at equal distance from previous prime (2002132121959) and next prime (2002132122047).

It is not a de Polignac number, because 2002132122003 - 210 = 2002132120979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002132122703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65262358 + ... + 65293028.

It is an arithmetic number, because the mean of its divisors is an integer number (65396691360).

Almost surely, 22002132122003 is an apocalyptic number.

2002132122003 is a deficient number, since it is larger than the sum of its proper divisors (1136909063277).

2002132122003 is a wasteful number, since it uses less digits than its factorization.

2002132122003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35080 (or 35077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002132122003 its reverse (3002212312002), we get a palindrome (5004344434005).

The spelling of 2002132122003 in words is "two trillion, two billion, one hundred thirty-two million, one hundred twenty-two thousand, three".

Divisors: 1 3 9 13 39 117 131 393 1179 1703 4259 5109 12777 15327 30671 38331 55367 92013 166101 276039 398723 498303 557929 1196169 1673787 3588507 4017901 5021361 7253077 12053703 21759231 36161109 52232713 65277693 130627789 156698139 391883367 470094417 1175650101 1698161257 5094483771 15283451313 17112240359 51336721077 154010163231 222459124667 667377374001 2002132122003