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10002012200001 = 3219722072556091
BaseRepresentation
bin1001000110001100011001…
…1000100101110001000001
31022102011221102112121022100
42101203012120211301001
52302333110110400001
633134505545301013
72051423120640513
oct221430630456101
938364842477270
1010002012200001
113206914153728
121156559794769
13577254cb4903
14268158481bb3
15125296915586
hex918c6625c41

10002012200001 has 24 divisors (see below), whose sum is σ = 14527272824064. Its totient is φ = 6631151819040.

The previous prime is 10002012199987. The next prime is 10002012200017. The reversal of 10002012200001 is 10000221020001.

It is not a de Polignac number, because 10002012200001 - 217 = 10002012068929 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 (10002012200051) 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 23 ways as a sum of consecutive naturals, for example, 2634966 + ... + 5191056.

It is an arithmetic number, because the mean of its divisors is an integer number (605303034336).

Almost surely, 210002012200001 is an apocalyptic number.

It is an amenable number.

10002012200001 is a deficient number, since it is larger than the sum of its proper divisors (4525260624063).

10002012200001 is a wasteful number, since it uses less digits than its factorization.

10002012200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558501 (or 2558498 counting only the distinct ones).

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

Adding to 10002012200001 its reverse (10000221020001), we get a palindrome (20002233220002).

The spelling of 10002012200001 in words is "ten trillion, two billion, twelve million, two hundred thousand, one".

Divisors: 1 3 9 197 591 1773 2207 6621 19863 434779 1304337 2556091 3913011 7668273 23004819 503549927 1510649781 4531949343 5641292837 16923878511 50771635533 1111334688889 3334004066667 10002012200001