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2201211100100 = 2252119318451057
BaseRepresentation
bin100000000010000010011…
…001111101101111000100
321210102201012000210110202
4200002002121331233010
5242031040020200400
64403120013110032
7315014030431115
oct40020231755704
97712635023422
102201211100100
1177958a30a461
122b6739188318
1312c75b76320c
147877975020c
153c3d29314d5
hex2008267dbc4

2201211100100 has 36 divisors (see below), whose sum is σ = 4780632225684. Its totient is φ = 879746350080.

The previous prime is 2201211100091. The next prime is 2201211100117. The reversal of 2201211100100 is 10011121022.

It can be written as a sum of positive squares in 6 ways, for example, as 40757956996 + 2160453143104 = 201886^2 + 1469848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9106229 + ... + 9344828.

Almost surely, 22201211100100 is an apocalyptic number.

2201211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201211100100 is an abundant number, since it is smaller than the sum of its proper divisors (2579421125584).

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

2201211100100 is a wasteful number, since it uses less digits than its factorization.

2201211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18452264 (or 18452257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2201211100100 its reverse (10011121022), we get a palindrome (2211222221122).

The spelling of 2201211100100 in words is "two trillion, two hundred one billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1193 2386 4772 5965 11930 23860 29825 59650 119300 18451057 36902114 73804228 92255285 184510570 369021140 461276425 922552850 1845105700 22012111001 44024222002 88048444004 110060555005 220121110010 440242220020 550302775025 1100605550050 2201211100100