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1001022200101 = 71147819133769
BaseRepresentation
bin11101001000100011001…
…00101001100100100101
310112200210221212120102001
432210101210221210211
5112400043140400401
62043510243445301
7132215156211160
oct16442144514445
93480727776361
101001022200101
11356592a31a70
12142008386831
137351bca9681
14366420d2ad7
151b08b380601
hexe911929925

1001022200101 has 32 divisors (see below), whose sum is σ = 1274774814720. Its totient is φ = 763305379200.

The previous prime is 1001022200099. The next prime is 1001022200131. The reversal of 1001022200101 is 1010022201001.

It is not a de Polignac number, because 1001022200101 - 21 = 1001022200099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022200131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29626345 + ... + 29660113.

It is an arithmetic number, because the mean of its divisors is an integer number (39836712960).

Almost surely, 21001022200101 is an apocalyptic number.

1001022200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001022200101 is a deficient number, since it is larger than the sum of its proper divisors (273752614619).

1001022200101 is a wasteful number, since it uses less digits than its factorization.

1001022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42025.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001022200101 its reverse (1010022201001), we get a palindrome (2011044401102).

The spelling of 1001022200101 in words is "one trillion, one billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 7 11 47 77 329 517 3619 8191 33769 57337 90101 236383 371459 384977 630707 1587143 2600213 2694839 4234747 11110001 17458573 29643229 122210011 276601879 1936213153 3042620669 13000288313 21298344683 91002018191 143003171443 1001022200101