Search a number
-
+
100444242301 = 132594344629
BaseRepresentation
bin101110110001011110…
…0011000000101111101
3100121021010120012010021
41131202330120011331
53121202211223201
6114050552412141
710154046654364
oct1354274300575
9317233505107
10100444242301
11396641799a7
12175726a7051
139619871800
144c0c0607db
15292d23bea1
hex1762f1817d

100444242301 has 6 divisors (see below), whose sum is σ = 108765067290. Its totient is φ = 92717761968.

The previous prime is 100444242251. The next prime is 100444242337. The reversal of 100444242301 is 103242444001.

It can be written as a sum of positive squares in 3 ways, for example, as 4484311225 + 95959931076 = 66965^2 + 309774^2 .

It is not a de Polignac number, because 100444242301 - 213 = 100444234109 is a prime.

It is a super-2 number, since 2×1004442423012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444242391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297172146 + ... + 297172483.

It is an arithmetic number, because the mean of its divisors is an integer number (18127511215).

Almost surely, 2100444242301 is an apocalyptic number.

It is an amenable number.

100444242301 is a deficient number, since it is larger than the sum of its proper divisors (8320824989).

100444242301 is an equidigital number, since it uses as much as digits as its factorization.

100444242301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594344655 (or 594344642 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 100444242301 its reverse (103242444001), we get a palindrome (203686686302).

The spelling of 100444242301 in words is "one hundred billion, four hundred forty-four million, two hundred forty-two thousand, three hundred one".

Divisors: 1 13 169 594344629 7726480177 100444242301