Search a number
-
+
100220133123 = 32112109384199
BaseRepresentation
bin101110101010110010…
…1011101111100000011
3100120200111212021010100
41131111211131330003
53120222323224443
6114012425133443
710145356035015
oct1352545357403
9316614767110
10100220133123
113955971a400
121750b62a283
1395b22c5926
144bca3a41b5
15291871e3d3
hex175595df03

100220133123 has 36 divisors (see below), whose sum is σ = 159266489200. Its totient is φ = 60683182560.

The previous prime is 100220133121. The next prime is 100220133157. The reversal of 100220133123 is 321331022001.

It is not a de Polignac number, because 100220133123 - 21 = 100220133121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220133096 and 100220133105.

It is not an unprimeable number, because it can be changed into a prime (100220133121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1148178 + ... + 1232376.

Almost surely, 2100220133123 is an apocalyptic number.

100220133123 is a deficient number, since it is larger than the sum of its proper divisors (59046356077).

100220133123 is a wasteful number, since it uses less digits than its factorization.

100220133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85320 (or 85306 counting only the distinct ones).

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

Adding to 100220133123 its reverse (321331022001), we get a palindrome (421551155124).

The spelling of 100220133123 in words is "one hundred billion, two hundred twenty million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1093 3279 9837 12023 36069 84199 108207 132253 252597 396759 757791 926189 1190277 2778567 8335701 10188079 30564237 91692711 92029507 276088521 828265563 1012324577 3036973731 9110921193 11135570347 33406711041 100220133123