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2106903829 is a prime number
BaseRepresentation
bin111110110010100…
…1100110100010101
312102211111210201011
41331211030310111
513303331410304
6545022132221
7103132246522
oct17545146425
95384453634
102106903829
11991324038
124a9721071
13277667374
1415db66149
15c4e7cc04
hex7d94cd15

2106903829 has 2 divisors, whose sum is σ = 2106903830. Its totient is φ = 2106903828.

The previous prime is 2106903811. The next prime is 2106903889. The reversal of 2106903829 is 9283096012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1170666225 + 936237604 = 34215^2 + 30598^2 .

It is a cyclic number.

It is not a de Polignac number, because 2106903829 - 29 = 2106903317 is a prime.

It is a super-2 number, since 2×21069038292 = 8878087489309722482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2106903791 and 2106903800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2106903889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053451914 + 1053451915.

It is an arithmetic number, because the mean of its divisors is an integer number (1053451915).

Almost surely, 22106903829 is an apocalyptic number.

It is an amenable number.

2106903829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106903829 is an equidigital number, since it uses as much as digits as its factorization.

2106903829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2106903829 is about 45901.0220910167. The cubic root of 2106903829 is about 1281.9809473635.

The spelling of 2106903829 in words is "two billion, one hundred six million, nine hundred three thousand, eight hundred twenty-nine".