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100444444001 = 119131313091
BaseRepresentation
bin101110110001011110…
…1001001010101100001
3100121021010221102210122
41131202331021111201
53121202234202001
6114051001010025
710154051454416
oct1354275112541
9317233842718
10100444444001
11396642a74a0
1217572783915
139619912565
144c0c0b410d
15292d27bb1b
hex1762f49561

100444444001 has 4 divisors (see below), whose sum is σ = 109575757104. Its totient is φ = 91313130900.

The previous prime is 100444443989. The next prime is 100444444003.

100444444001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100444444001 - 214 = 100444427617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100444444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4565656535 + ... + 4565656556.

It is an arithmetic number, because the mean of its divisors is an integer number (27393939276).

Almost surely, 2100444444001 is an apocalyptic number.

100444444001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100444444001 is a deficient number, since it is larger than the sum of its proper divisors (9131313103).

100444444001 is an equidigital number, since it uses as much as digits as its factorization.

100444444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131313102.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 100444 and 444001, that added together give a palindrome (544445).

The spelling of 100444444001 in words is "one hundred billion, four hundred forty-four million, four hundred forty-four thousand, one".

Divisors: 1 11 9131313091 100444444001