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2001332011021 = 721719912073163
BaseRepresentation
bin11101000111111000101…
…011110000000000001101
321002022210021021000120121
4131013320223300000031
5230242211443323041
64131222122344541
7264406605261100
oct35077053600015
97068707230517
102001332011021
1170183a822442
12283a5605b151
131169564c9785
146cc17744737
15370d4de27d1
hex1d1f8af000d

2001332011021 has 24 divisors (see below), whose sum is σ = 2477413252800. Its totient is φ = 1606406643072.

The previous prime is 2001332010983. The next prime is 2001332011027. The reversal of 2001332011021 is 1201102331002.

It is not a de Polignac number, because 2001332011021 - 229 = 2000795140109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001332010986 and 2001332011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001332011027) 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 23 ways as a sum of consecutive naturals, for example, 5870815 + ... + 6202348.

It is an arithmetic number, because the mean of its divisors is an integer number (103225552200).

Almost surely, 22001332011021 is an apocalyptic number.

It is an amenable number.

2001332011021 is a deficient number, since it is larger than the sum of its proper divisors (476081241779).

2001332011021 is a wasteful number, since it uses less digits than its factorization.

2001332011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073393 (or 12073386 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2001332011021 its reverse (1201102331002), we get a palindrome (3202434342023).

The spelling of 2001332011021 in words is "two trillion, one billion, three hundred thirty-two million, eleven thousand, twenty-one".

Divisors: 1 7 17 49 119 199 833 1393 3383 9751 23681 165767 12073163 84512141 205243771 591584987 1436706397 2402559437 10056944779 16817916059 40843510429 117725412413 285904573003 2001332011021