Search a number
-
+
103022011321 = 17298914871579
BaseRepresentation
bin101111111110010010…
…1110010001110111001
3100211220210002102102221
41133330211302032321
53141442113330241
6115154435124041
710304660435065
oct1377445621671
9324823072387
10103022011321
113a76726aa19
1217b71a43621
13993a92ca18
144db4556aa5
152a2e6ca5d1
hex17fc9723b9

103022011321 has 32 divisors (see below), whose sum is σ = 114260544000. Its totient is φ = 92445652992.

The previous prime is 103022011247. The next prime is 103022011331. The reversal of 103022011321 is 123110220301.

It is a cyclic number.

It is not a de Polignac number, because 103022011321 - 217 = 103021880249 is a prime.

It is a super-2 number, since 2×1030220113212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103022011295 and 103022011304.

It is not an unprimeable number, because it can be changed into a prime (103022011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65244310 + ... + 65245888.

It is an arithmetic number, because the mean of its divisors is an integer number (3570642000).

Almost surely, 2103022011321 is an apocalyptic number.

It is an amenable number.

103022011321 is a deficient number, since it is larger than the sum of its proper divisors (11238532679).

103022011321 is a wasteful number, since it uses less digits than its factorization.

103022011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103022011321 its reverse (123110220301), we get a palindrome (226132231622).

The spelling of 103022011321 in words is "one hundred three billion, twenty-two million, eleven thousand, three hundred twenty-one".

Divisors: 1 17 29 89 493 1487 1513 1579 2581 25279 26843 43123 43877 45791 132343 140531 733091 778447 2249831 2347973 2389027 3837947 4075399 39915541 65245099 68091217 69281783 208969597 1157550689 3552483149 6060118313 103022011321