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2002126621 = 11229570569
BaseRepresentation
bin111011101010110…
…0000011100011101
312011112100120101211
41313111200130131
513100021022441
6530400304421
7100420536565
oct16725403435
95145316354
102002126621
1193816a400
1247a612111
1325ba40311
1414dc8dda5
15bab82a81
hex7756071d

2002126621 has 12 divisors (see below), whose sum is σ = 2276574300. Its totient is φ = 1757349440.

The previous prime is 2002126571. The next prime is 2002126649. The reversal of 2002126621 is 1266212002.

It can be written as a sum of positive squares in 2 ways, for example, as 1239814521 + 762312100 = 35211^2 + 27610^2 .

It is not a de Polignac number, because 2002126621 - 215 = 2002093853 is a prime.

It is a super-2 number, since 2×20021266212 = 8017022013033755282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002126592 and 2002126601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002106621) 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 11 ways as a sum of consecutive naturals, for example, 281776 + ... + 288793.

It is an arithmetic number, because the mean of its divisors is an integer number (189714525).

Almost surely, 22002126621 is an apocalyptic number.

It is an amenable number.

2002126621 is a deficient number, since it is larger than the sum of its proper divisors (274447679).

2002126621 is a wasteful number, since it uses less digits than its factorization.

2002126621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570620 (or 570609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2002126621 is about 44745.1295785363. The cubic root of 2002126621 is about 1260.3674541373.

Adding to 2002126621 its reverse (1266212002), we get a palindrome (3268338623).

The spelling of 2002126621 in words is "two billion, two million, one hundred twenty-six thousand, six hundred twenty-one".

Divisors: 1 11 29 121 319 3509 570569 6276259 16546501 69038849 182011511 2002126621