Search a number
-
+
1002212313003 = 321176924415393
BaseRepresentation
bin11101001010110001000…
…00100100011110101011
310112210212220021120101200
432211120200210132223
5112410012323004003
62044224320015243
7132256520050116
oct16453040443653
93483786246350
101002212313003
113570437a5450
1214229aa61523
137367b71b7a5
14367161ab57d
151b10aab66a3
hexe9588247ab

1002212313003 has 48 divisors (see below), whose sum is σ = 1582238417760. Its totient is φ = 606250598400.

The previous prime is 1002212313001. The next prime is 1002212313031. The reversal of 1002212313003 is 3003132122001.

It is not a de Polignac number, because 1002212313003 - 21 = 1002212313001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002212313001) 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 47 ways as a sum of consecutive naturals, for example, 185833075 + ... + 185838467.

It is an arithmetic number, because the mean of its divisors is an integer number (32963300370).

Almost surely, 21002212313003 is an apocalyptic number.

1002212313003 is a deficient number, since it is larger than the sum of its proper divisors (580026104757).

1002212313003 is a wasteful number, since it uses less digits than its factorization.

1002212313003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002212313003 its reverse (3003132122001), we get a palindrome (4005344435004).

The spelling of 1002212313003 in words is "one trillion, two billion, two hundred twelve million, three hundred thirteen thousand, three".

Divisors: 1 3 9 11 33 99 769 2307 2441 5393 6921 7323 8459 16179 21969 25377 26851 48537 59323 76131 80553 177969 241659 533907 1877129 4147217 5631387 12441651 13164313 16894161 20648419 37324953 39492939 45619387 61945257 118478817 136858161 144807443 185835771 410574483 434422329 1303266987 10123356697 30370070091 91110210273 111356923667 334070771001 1002212313003