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10020200012001 = 3323137117778013
BaseRepresentation
bin1001000111010000001001…
…1101100101100011100001
31022110220212222010011222000
42101310002131211203201
52303132332200341001
633151114421234213
72052635616535464
oct221640235454341
938426788104860
1010020200012001
1132135a7754013
121159b94862969
13578b930c2a4a
14268da1bdb2db
151259ad51ba86
hex91d027658e1

10020200012001 has 32 divisors (see below), whose sum is σ = 15603231294720. Its totient is φ = 6343052614272.

The previous prime is 10020200011949. The next prime is 10020200012033. The reversal of 10020200012001 is 10021000202001.

It is not a de Polignac number, because 10020200012001 - 29 = 10020200011489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10020200013001) 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 31 ways as a sum of consecutive naturals, for example, 58803930 + ... + 58974083.

It is an arithmetic number, because the mean of its divisors is an integer number (487600977960).

Almost surely, 210020200012001 is an apocalyptic number.

It is an amenable number.

10020200012001 is a deficient number, since it is larger than the sum of its proper divisors (5583031282719).

10020200012001 is a wasteful number, since it uses less digits than its factorization.

10020200012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117778182 (or 117778176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020200012001 its reverse (10021000202001), we get a palindrome (20041200214002).

The spelling of 10020200012001 in words is "ten trillion, twenty billion, two hundred million, twelve thousand, one".

Divisors: 1 3 9 23 27 69 137 207 411 621 1233 3151 3699 9453 28359 85077 117778013 353334039 1060002117 2708894299 3180006351 8126682897 16135587781 24380048691 48406763343 73140146073 145220290029 371118518963 435660870087 1113355556889 3340066670667 10020200012001