Search a number
-
+
100123501433 = 281409871177
BaseRepresentation
bin101110100111111010…
…0110110001101111001
3100120102210000212100212
41131033310312031321
53120023104021213
6113555054040505
710143103501664
oct1351764661571
9316383025325
10100123501433
113950a1195aa
12174a31a9135
139598291307
144bbb60c6db
15290eed29a8
hex174fd36379

100123501433 has 8 divisors (see below), whose sum is σ = 100725600360. Its totient is φ = 99523146240.

The previous prime is 100123501391. The next prime is 100123501447. The reversal of 100123501433 is 334105321001.

It can be written as a sum of positive squares in 4 ways, for example, as 34111504249 + 66011997184 = 184693^2 + 256928^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100123501433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100123501399 and 100123501408.

It is not an unprimeable number, because it can be changed into a prime (100123501493) 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 7 ways as a sum of consecutive naturals, for example, 320660 + ... + 550517.

It is an arithmetic number, because the mean of its divisors is an integer number (12590700045).

Almost surely, 2100123501433 is an apocalyptic number.

It is an amenable number.

100123501433 is a deficient number, since it is larger than the sum of its proper divisors (602098927).

100123501433 is an equidigital number, since it uses as much as digits as its factorization.

100123501433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871867.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 100123501433 its reverse (334105321001), we get a palindrome (434228822434).

The spelling of 100123501433 in words is "one hundred billion, one hundred twenty-three million, five hundred one thousand, four hundred thirty-three".

Divisors: 1 281 409 114929 871177 244800737 356311393 100123501433