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2122010001 = 33891396353
BaseRepresentation
bin111111001111011…
…0100110110010001
312110212221021111000
41332132310312101
513321213310001
6550322012213
7103404534036
oct17636646621
95425837430
102122010001
11999901581
124b27a7069
1327a826127
14161b7938d
15c6463a86
hex7e7b4d91

2122010001 has 32 divisors (see below), whose sum is σ = 3202416000. Its totient is φ = 1388496384.

The previous prime is 2122009999. The next prime is 2122010029. The reversal of 2122010001 is 1000102212.

2122010001 = 38382 + 38392 + ... + 39762.

It is not a de Polignac number, because 2122010001 - 21 = 2122009999 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 (2122010071) 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, 330841 + ... + 337193.

It is an arithmetic number, because the mean of its divisors is an integer number (100075500).

Almost surely, 22122010001 is an apocalyptic number.

It is an amenable number.

2122010001 is a deficient number, since it is larger than the sum of its proper divisors (1080405999).

2122010001 is a wasteful number, since it uses less digits than its factorization.

2122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6584 counting only the distinct ones).

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

The square root of 2122010001 is about 46065.2797777241. The cubic root of 2122010001 is about 1285.0375217536.

Adding to 2122010001 its reverse (1000102212), we get a palindrome (3122112213).

The spelling of 2122010001 in words is "two billion, one hundred twenty-two million, ten thousand, one".

Divisors: 1 3 9 27 89 139 267 417 801 1251 2403 3753 6353 12371 19059 37113 57177 111339 171531 334017 565417 883067 1696251 2649201 5088753 7947603 15266259 23842809 78592963 235778889 707336667 2122010001