Search a number
-
+
1020221000231 is a prime number
BaseRepresentation
bin11101101100010011110…
…10010000101000100111
310121112100221210200001112
432312021322100220213
5113203403034001411
62100403312415235
7133465012263326
oct16661172205047
93545327720045
101020221000231
11363745180734
12145885b4751b
137528b6a1234
1437543c1a0bd
151b811ad8b8b
hexed89e90a27

1020221000231 has 2 divisors, whose sum is σ = 1020221000232. Its totient is φ = 1020221000230.

The previous prime is 1020221000213. The next prime is 1020221000233. The reversal of 1020221000231 is 1320001220201.

It is a happy number.

1020221000231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (1020221000213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1020221000231 - 218 = 1020220738087 is a prime.

It is a super-2 number, since 2×10202210002312 (a number of 25 digits) contains 22 as substring.

Together with 1020221000233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020221000233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110500115 + 510110500116.

It is an arithmetic number, because the mean of its divisors is an integer number (510110500116).

Almost surely, 21020221000231 is an apocalyptic number.

1020221000231 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221000231 is an equidigital number, since it uses as much as digits as its factorization.

1020221000231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1020221000231 its reverse (1320001220201), we get a palindrome (2340222220432).

The spelling of 1020221000231 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred thirty-one", and thus it is an aban number.