Search a number
-
+
103133001033 = 3319354136583
BaseRepresentation
bin110000000001100110…
…1001011010101001001
3100212012111221021201000
41200003031023111021
53142204022013113
6115213442045213
710310506021206
oct1400315132511
9325174837630
10103133001033
113a813988157
1217ba3049809
1399579206ca
144dc51a8cad
152a39301373
hex180334b549

103133001033 has 32 divisors (see below), whose sum is σ = 153869377280. Its totient is φ = 68270791680.

The previous prime is 103133001017. The next prime is 103133001067. The reversal of 103133001033 is 330100331301.

103133001033 is a `hidden beast` number, since 10 + 313 + 300 + 10 + 33 = 666.

It is not a de Polignac number, because 103133001033 - 24 = 103133001017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103133000997 and 103133001015.

It is not an unprimeable number, because it can be changed into a prime (103133002033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800860 + ... + 2837442.

It is an arithmetic number, because the mean of its divisors is an integer number (4808418040).

Almost surely, 2103133001033 is an apocalyptic number.

It is an amenable number.

103133001033 is a deficient number, since it is larger than the sum of its proper divisors (50736376247).

103133001033 is a wasteful number, since it uses less digits than its factorization.

103133001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37326 (or 37320 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103133001033 its reverse (330100331301), we get a palindrome (433233332334).

The spelling of 103133001033 in words is "one hundred three billion, one hundred thirty-three million, one thousand, thirty-three".

Divisors: 1 3 9 27 193 541 579 1623 1737 4869 5211 14607 36583 104413 109749 313239 329247 939717 987741 2819151 7060519 19791403 21181557 59374209 63544671 178122627 190634013 534367881 3819740779 11459222337 34377667011 103133001033