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2201020300101 = 372343347305407
BaseRepresentation
bin100000000001110111000…
…010000111101101000101
321210102012220000011002010
4200001313002013231011
5242030142144100401
64403045035404433
7315006222601650
oct40016702075505
97712186004063
102201020300101
117794a1640607
122b66a52b3719
1312c72b07a5cc
147875c284897
153c3c0ce2ed6
hex20077087b45

2201020300101 has 64 divisors (see below), whose sum is σ = 3591480803328. Its totient is φ = 1171674237888.

The previous prime is 2201020300067. The next prime is 2201020300139. The reversal of 2201020300101 is 1010030201022.

It is not a de Polignac number, because 2201020300101 - 210 = 2201020299077 is a prime.

It is a super-2 number, since 2×22010203001012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201020310101) 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 63 ways as a sum of consecutive naturals, for example, 7054140 + ... + 7359546.

It is an arithmetic number, because the mean of its divisors is an integer number (56116887552).

Almost surely, 22201020300101 is an apocalyptic number.

2201020300101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201020300101 is a deficient number, since it is larger than the sum of its proper divisors (1390460503227).

2201020300101 is a wasteful number, since it uses less digits than its factorization.

2201020300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305830.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2201020300101 its reverse (1010030201022), we get a palindrome (3211050501123).

The spelling of 2201020300101 in words is "two trillion, two hundred one billion, twenty million, three hundred thousand, one hundred one".

Divisors: 1 3 7 21 23 43 69 129 161 301 347 483 903 989 1041 2429 2967 6923 7287 7981 14921 20769 23943 44763 55867 104447 167601 305407 313341 343183 916221 1029549 2137849 2402281 6413547 7024361 7206843 13132501 21073083 39397503 49170527 91927507 105976229 147511581 275782521 302047523 317928687 741833603 906142569 2114332661 2225500809 2437453267 4556977847 6342997983 7312359801 13670933541 17062172869 31898844929 51186518607 95696534787 104810490481 314431471443 733673433367 2201020300101