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2100121013 = 73263109387
BaseRepresentation
bin111110100101101…
…0100110110110101
312102100202012102202
41331023110312311
513300112333023
6544220514245
7103020506534
oct17513246665
95370665382
102100121013
11988511001
124a73ab985
13276130c73
1415ccbc31b
15c458d128
hex7d2d4db5

2100121013 has 8 divisors (see below), whose sum is σ = 2137003968. Its totient is φ = 2063457504.

The previous prime is 2100121003. The next prime is 2100121021. The reversal of 2100121013 is 3101210012.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100121013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100120985 and 2100121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121003) 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, 35495 + ... + 73892.

It is an arithmetic number, because the mean of its divisors is an integer number (267125496).

Almost surely, 22100121013 is an apocalyptic number.

It is an amenable number.

2100121013 is a deficient number, since it is larger than the sum of its proper divisors (36882955).

2100121013 is a wasteful number, since it uses less digits than its factorization.

2100121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109723.

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

The square root of 2100121013 is about 45827.0772906150. The cubic root of 2100121013 is about 1280.6037624081.

Adding to 2100121013 its reverse (3101210012), we get a palindrome (5201331025).

The spelling of 2100121013 in words is "two billion, one hundred million, one hundred twenty-one thousand, thirteen".

Divisors: 1 73 263 19199 109387 7985251 28768781 2100121013