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100222112001 = 31117178649041
BaseRepresentation
bin101110101010110110…
…1000001000100000001
3100120200122120210122010
41131111231001010001
53120223330041001
6114012535403133
710145411616234
oct1352555010401
9316618523563
10100222112001
113955a851140
12175102234a9
1395b283956b
144bca75b41b
1529189b08d6
hex1755b41101

100222112001 has 16 divisors (see below), whose sum is σ = 154352772288. Its totient is φ = 57167692800.

The previous prime is 100222111987. The next prime is 100222112021. The reversal of 100222112001 is 100211222001.

It is not a de Polignac number, because 100222112001 - 26 = 100222111937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100222112021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89323960 + ... + 89325081.

It is an arithmetic number, because the mean of its divisors is an integer number (9647048268).

Almost surely, 2100222112001 is an apocalyptic number.

100222112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222112001 is a deficient number, since it is larger than the sum of its proper divisors (54130660287).

100222112001 is a wasteful number, since it uses less digits than its factorization.

100222112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178649072.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222112001 its reverse (100211222001), we get a palindrome (200433334002).

Subtracting from 100222112001 its reverse (100211222001), we obtain a square (10890000 = 33002).

The spelling of 100222112001 in words is "one hundred billion, two hundred twenty-two million, one hundred twelve thousand, one".

Divisors: 1 3 11 17 33 51 187 561 178649041 535947123 1965139451 3037033697 5895418353 9111101091 33407370667 100222112001