Search a number
-
+
100130223321 = 3289125006521
BaseRepresentation
bin101110101000000111…
…0011111010011011001
3100120110020200101001200
41131100032133103121
53120031314121241
6113555454104413
710143214566222
oct1352016372331
9316406611050
10100130223321
113951299a887
12174a54ab109
1395997a5a6b
144bbc47c249
1529108ae4b6
hex175039f4d9

100130223321 has 12 divisors (see below), whose sum is σ = 146257630740. Its totient is φ = 66003442560.

The previous prime is 100130223283. The next prime is 100130223343. The reversal of 100130223321 is 123322031001.

It can be written as a sum of positive squares in 2 ways, for example, as 15295505625 + 84834717696 = 123675^2 + 291264^2 .

It is not a de Polignac number, because 100130223321 - 229 = 99593352409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100130223294 and 100130223303.

It is not an unprimeable number, because it can be changed into a prime (100130224321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62502460 + ... + 62504061.

It is an arithmetic number, because the mean of its divisors is an integer number (12188135895).

Almost surely, 2100130223321 is an apocalyptic number.

It is an amenable number.

100130223321 is a deficient number, since it is larger than the sum of its proper divisors (46127407419).

100130223321 is a wasteful number, since it uses less digits than its factorization.

100130223321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125006616 (or 125006613 counting only the distinct ones).

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

Adding to 100130223321 its reverse (123322031001), we get a palindrome (223452254322).

The spelling of 100130223321 in words is "one hundred billion, one hundred thirty million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 89 267 801 125006521 375019563 1125058689 11125580369 33376741107 100130223321