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2001002112021 = 311232636366419
BaseRepresentation
bin11101000111100101000…
…001010010010000010101
321002021221021111102020010
4131013211001102100111
5230241023020041041
64131125255430433
7264365461213323
oct35074501222025
97067837442203
102001002112021
11701690587440
12283983685419
13116903060973
146cbc59cad13
15370b5e79a16
hex1d1e5052415

2001002112021 has 16 divisors (see below), whose sum is σ = 3037094115840. Its totient is φ = 1160001223920.

The previous prime is 2001002112007. The next prime is 2001002112029. The reversal of 2001002112021 is 1202112001002.

It is not a de Polignac number, because 2001002112021 - 217 = 2001001980949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001002111988 and 2001002112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001002112029) 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 15 ways as a sum of consecutive naturals, for example, 1318182451 + ... + 1318183968.

It is an arithmetic number, because the mean of its divisors is an integer number (189818382240).

Almost surely, 22001002112021 is an apocalyptic number.

It is an amenable number.

2001002112021 is a deficient number, since it is larger than the sum of its proper divisors (1036092003819).

2001002112021 is a wasteful number, since it uses less digits than its factorization.

2001002112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636366456.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001002112021 its reverse (1202112001002), we get a palindrome (3203114113023).

The spelling of 2001002112021 in words is "two trillion, one billion, two million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 11 23 33 69 253 759 2636366419 7909099257 29000030609 60636427637 87000091827 181909282911 667000704007 2001002112021