Search a number
-
+
2102000021 = 11259294439
BaseRepresentation
bin111110101001001…
…1111100110010101
312102111021122221122
41331102133212111
513301103000041
6544325053325
7103042463642
oct17522374625
95374248848
102102000021
11989584800
124a7b57245
1327663b2c4
1415d24adc9
15c480ec4b
hex7d49f995

2102000021 has 12 divisors (see below), whose sum is σ = 2349631200. Its totient is φ = 1878514440.

The previous prime is 2102000009. The next prime is 2102000023. The reversal of 2102000021 is 1200002012.

It is a de Polignac number, because none of the positive numbers 2k-2102000021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101999972 and 2102000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000023) 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 11 ways as a sum of consecutive naturals, for example, 140081 + ... + 154358.

It is an arithmetic number, because the mean of its divisors is an integer number (195802600).

Almost surely, 22102000021 is an apocalyptic number.

It is an amenable number.

2102000021 is a deficient number, since it is larger than the sum of its proper divisors (247631179).

2102000021 is a wasteful number, since it uses less digits than its factorization.

2102000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294520 (or 294509 counting only the distinct ones).

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

The square root of 2102000021 is about 45847.5737744104. The cubic root of 2102000021 is about 1280.9855733318.

Adding to 2102000021 its reverse (1200002012), we get a palindrome (3302002033).

The spelling of 2102000021 in words is "two billion, one hundred two million, twenty-one", and thus it is an aban number.

Divisors: 1 11 59 121 649 7139 294439 3238829 17371901 35627119 191090911 2102000021