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2122013101 = 131131444529
BaseRepresentation
bin111111001111011…
…0101100110101101
312110212221102201211
41332132311212231
513321213404401
6550322034421
7103404546055
oct17636654655
95425842654
102122013101
1199990393a
124b27a8a11
1327a827670
14161b7a565
15c6464951
hex7e7b59ad

2122013101 has 8 divisors (see below), whose sum is σ = 2305469880. Its totient is φ = 1941445632.

The previous prime is 2122013077. The next prime is 2122013111. The reversal of 2122013101 is 1013102212.

It can be written as a sum of positive squares in 4 ways, for example, as 260176900 + 1861836201 = 16130^2 + 43149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122013101 - 27 = 2122012973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122013111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720796 + ... + 723733.

It is an arithmetic number, because the mean of its divisors is an integer number (288183735).

Almost surely, 22122013101 is an apocalyptic number.

It is an amenable number.

2122013101 is a deficient number, since it is larger than the sum of its proper divisors (183456779).

2122013101 is a wasteful number, since it uses less digits than its factorization.

2122013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444655.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2122013101 is about 46065.3134256134. The cubic root of 2122013101 is about 1285.0381475147.

Adding to 2122013101 its reverse (1013102212), we get a palindrome (3135115313).

The spelling of 2122013101 in words is "two billion, one hundred twenty-two million, thirteen thousand, one hundred one".

Divisors: 1 13 113 1469 1444529 18778877 163231777 2122013101