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2100000961 is a prime number
BaseRepresentation
bin111110100101011…
…0111100011000001
312102100112002202101
41331022313203001
513300100012321
6544214150401
7103016466532
oct17512674301
95370462671
102100000961
11988439893
124a7352401
132760bb426
1415cc8a689
15c4567791
hex7d2b78c1

2100000961 has 2 divisors, whose sum is σ = 2100000962. Its totient is φ = 2100000960.

The previous prime is 2100000949. The next prime is 2100000997. The reversal of 2100000961 is 1690000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1419782400 + 680218561 = 37680^2 + 26081^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100000961 - 29 = 2100000449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100000911) 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, 1050000480 + 1050000481.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000481).

Almost surely, 22100000961 is an apocalyptic number.

It is an amenable number.

2100000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000961 is an equidigital number, since it uses as much as digits as its factorization.

2100000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2100000961 is about 45825.7674349268. The cubic root of 2100000961 is about 1280.5793603266.

Adding to 2100000961 its reverse (1690000012), we get a palindrome (3790000973).

The spelling of 2100000961 in words is "two billion, one hundred million, nine hundred sixty-one", and thus it is an aban number.