Search a number
-
+
10022102003 = 311272545619
BaseRepresentation
bin10010101010101110…
…10010001111110011
3221212110100112101002
421111113102033303
5131011124231003
64334252232215
7503233314164
oct112527221763
927773315332
1010022102003
114283240631
121b3846b66b
13c39458594
146b107776b
153d9cc6a88
hex2555d23f3

10022102003 has 8 divisors (see below), whose sum is σ = 10426859520. Its totient is φ = 9622436040.

The previous prime is 10022101997. The next prime is 10022102009. The reversal of 10022102003 is 30020122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10022101997) and next prime (10022102009).

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 10022102003 - 224 = 10005324787 is a prime.

It is a super-2 number, since 2×100221020032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022102009) 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, 1268873 + ... + 1276746.

It is an arithmetic number, because the mean of its divisors is an integer number (1303357440).

Almost surely, 210022102003 is an apocalyptic number.

10022102003 is a deficient number, since it is larger than the sum of its proper divisors (404757517).

10022102003 is a wasteful number, since it uses less digits than its factorization.

10022102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545777.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10022102003 its reverse (30020122001), we get a palindrome (40042224004).

The spelling of 10022102003 in words is "ten billion, twenty-two million, one hundred two thousand, three".

Divisors: 1 31 127 3937 2545619 78914189 323293613 10022102003