Search a number
-
+
10221111098977 is a prime number
BaseRepresentation
bin1001010010111100100110…
…1100100011111001100001
31100012010110210202212211111
42110233021230203321201
52314430313420131402
633423302535143321
72103310442565652
oct224571154437141
940163423685744
1010221111098977
11329082682a359
121190b05514b41
13591b010bab2c
142749c0cc3529
1512ad1b95c9d7
hex94bc9b23e61

10221111098977 has 2 divisors, whose sum is σ = 10221111098978. Its totient is φ = 10221111098976.

The previous prime is 10221111098959. The next prime is 10221111099011. The reversal of 10221111098977 is 77989011112201.

10221111098977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9999610030656 + 221501068321 = 3162216^2 + 470639^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221111098977 - 223 = 10221102710369 is a prime.

It is a super-2 number, since 2×102211110989772 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221111098977.

It is not a weakly prime, because it can be changed into another prime (10221111098477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110555549488 + 5110555549489.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555549489).

Almost surely, 210221111098977 is an apocalyptic number.

It is an amenable number.

10221111098977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221111098977 is an equidigital number, since it uses as much as digits as its factorization.

10221111098977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 49.

The spelling of 10221111098977 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, ninety-eight thousand, nine hundred seventy-seven".