Search a number
-
+
10002012212219 is a prime number
BaseRepresentation
bin1001000110001100011001…
…1000101000101111111011
31022102011221102120020001212
42101203012120220233323
52302333110111242334
633134505545433335
72051423121021236
oct221430630505773
938364842506055
1010002012212219
113206914161925
12115655979b84b
13577254cba341
1426815848641d
15125296918ece
hex918c6628bfb

10002012212219 has 2 divisors, whose sum is σ = 10002012212220. Its totient is φ = 10002012212218.

The previous prime is 10002012212207. The next prime is 10002012212221. The reversal of 10002012212219 is 91221221020001.

10002012212219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (91221221020001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10002012212219 is a prime.

It is a super-2 number, since 2×100020122122192 (a number of 27 digits) contains 22 as substring.

Together with 10002012212221, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002012212194 and 10002012212203.

It is not a weakly prime, because it can be changed into another prime (10002012212119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001006106109 + 5001006106110.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006106110).

Almost surely, 210002012212219 is an apocalyptic number.

10002012212219 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012212219 is an equidigital number, since it uses as much as digits as its factorization.

10002012212219 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10002012212219 in words is "ten trillion, two billion, twelve million, two hundred twelve thousand, two hundred nineteen".