Search a number
-
+
100000021217 is a prime number
BaseRepresentation
bin101110100100001110…
…1110011101011100001
3100120010011200102100112
41131020131303223201
53114300001134332
6113534523301105
710140044104235
oct1351035635341
9316104612315
10100000021217
1139456450038
121746997a795
1395788192b5
144ba90685c5
152904240db2
hex1748773ae1

100000021217 has 2 divisors, whose sum is σ = 100000021218. Its totient is φ = 100000021216.

The previous prime is 100000021211. The next prime is 100000021223. The reversal of 100000021217 is 712120000001.

It is a balanced prime because it is at equal distance from previous prime (100000021211) and next prime (100000021223).

It can be written as a sum of positive squares in only one way, i.e., 89449444561 + 10550576656 = 299081^2 + 102716^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000021217 - 24 = 100000021201 is a prime.

It is a super-2 number, since 2×1000000212172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100000021211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000010608 + 50000010609.

It is an arithmetic number, because the mean of its divisors is an integer number (50000010609).

Almost surely, 2100000021217 is an apocalyptic number.

It is an amenable number.

100000021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000021217 is an equidigital number, since it uses as much as digits as its factorization.

100000021217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 100000021217 its reverse (712120000001), we get a palindrome (812120021218).

The spelling of 100000021217 in words is "one hundred billion, twenty-one thousand, two hundred seventeen".