Search a number
-
+
2121100997 is a prime number
BaseRepresentation
bin111111001101101…
…0110111011000101
312110211020002120012
41332123112323011
513321000212442
6550250320005
7103364026631
oct17633267305
95424202505
102121100997
11999340634
124b2429005
1327a598462
141619bddc1
15c6334582
hex7e6d6ec5

2121100997 has 2 divisors, whose sum is σ = 2121100998. Its totient is φ = 2121100996.

The previous prime is 2121100991. The next prime is 2121101029. The reversal of 2121100997 is 7990011212.

It is an a-pointer prime, because the next prime (2121101029) can be obtained adding 2121100997 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1651121956 + 469979041 = 40634^2 + 21679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121100997 - 24 = 2121100981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121100991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060550498 + 1060550499.

It is an arithmetic number, because the mean of its divisors is an integer number (1060550499).

Almost surely, 22121100997 is an apocalyptic number.

It is an amenable number.

2121100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121100997 is an equidigital number, since it uses as much as digits as its factorization.

2121100997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 2121100997 is about 46055.4122443823. The cubic root of 2121100997 is about 1284.8540053265.

The spelling of 2121100997 in words is "two billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-seven".