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2120013101 = 171058911777
BaseRepresentation
bin111111001011100…
…1101010100101101
312110202011211020202
41332113031110231
513320210404401
6550211123245
7103351546133
oct17627152455
95422154222
102120013101
11998768248
124b1ba3525
1327a2a722b
141617b9753
15c61bc06b
hex7e5cd52d

2120013101 has 8 divisors (see below), whose sum is σ = 2245122360. Its totient is φ = 1994948608.

The previous prime is 2120013097. The next prime is 2120013107. The reversal of 2120013101 is 1013100212.

It can be written as a sum of positive squares in 4 ways, for example, as 380289001 + 1739724100 = 19501^2 + 41710^2 .

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 2120013101 - 22 = 2120013097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013107) 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 7 ways as a sum of consecutive naturals, for example, 174125 + ... + 185901.

It is an arithmetic number, because the mean of its divisors is an integer number (280640295).

Almost surely, 22120013101 is an apocalyptic number.

It is an amenable number.

2120013101 is a deficient number, since it is larger than the sum of its proper divisors (125109259).

2120013101 is a wasteful number, since it uses less digits than its factorization.

2120013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22383.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2120013101 is about 46043.6000004344. The cubic root of 2120013101 is about 1284.6343039270.

Adding to 2120013101 its reverse (1013100212), we get a palindrome (3133113313).

The spelling of 2120013101 in words is "two billion, one hundred twenty million, thirteen thousand, one hundred one".

Divisors: 1 17 10589 11777 180013 200209 124706653 2120013101