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22002100001 = 721804124889
BaseRepresentation
bin10100011111011011…
…010110011100100001
32002210100211111010122
4110133123112130201
5330030014200001
614035125210025
71406142523100
oct243733263441
962710744118
1022002100001
119370680422
124320560915
1320c8408aab
1410ca16a037
1588b8e5b1b
hex51f6d6721

22002100001 has 12 divisors (see below), whose sum is σ = 25596726660. Its totient is φ = 18857139840.

The previous prime is 22002099979. The next prime is 22002100013. The reversal of 22002100001 is 10000120022.

It can be written as a sum of positive squares in 2 ways, for example, as 378691600 + 21623408401 = 19460^2 + 147049^2 .

It is not a de Polignac number, because 22002100001 - 214 = 22002083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22002100091) 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, 871565 + ... + 896453.

It is an arithmetic number, because the mean of its divisors is an integer number (2133060555).

Almost surely, 222002100001 is an apocalyptic number.

It is an amenable number.

22002100001 is a deficient number, since it is larger than the sum of its proper divisors (3594626659).

22002100001 is a wasteful number, since it uses less digits than its factorization.

22002100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42944 (or 42937 counting only the distinct ones).

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

Adding to 22002100001 its reverse (10000120022), we get a palindrome (32002220023).

The spelling of 22002100001 in words is "twenty-two billion, two million, one hundred thousand, one".

Divisors: 1 7 49 18041 24889 126287 174223 884009 1219561 449022449 3143157143 22002100001