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101144221100 = 22521377803247
BaseRepresentation
bin101111000110010101…
…0100101010110101100
3100200001220200210111222
41132030222211112230
53124120410033400
6114244235402512
710210306460036
oct1361452452654
9320056623458
10101144221100
113999330437a
1217728bb3438
1396cb8a4350
144c76dd0c56
15296e908185
hex178caa55ac

101144221100 has 36 divisors (see below), whose sum is σ = 236366267424. Its totient is φ = 37345558080.

The previous prime is 101144221099. The next prime is 101144221109. The reversal of 101144221100 is 1122441101.

It is not an unprimeable number, because it can be changed into a prime (101144221109) 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 11 ways as a sum of consecutive naturals, for example, 38900324 + ... + 38902923.

Almost surely, 2101144221100 is an apocalyptic number.

101144221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144221100 is an abundant number, since it is smaller than the sum of its proper divisors (135222046324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101144221100 is a wasteful number, since it uses less digits than its factorization.

101144221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77803274 (or 77803267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101144221100 its reverse (1122441101), we get a palindrome (102266662201).

The spelling of 101144221100 in words is "one hundred one billion, one hundred forty-four million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 77803247 155606494 311212988 389016235 778032470 1011442211 1556064940 1945081175 2022884422 3890162350 4045768844 5057211055 7780324700 10114422110 20228844220 25286055275 50572110550 101144221100