Search a number
-
+
101121322231 is a prime number
BaseRepresentation
bin101111000101101001…
…1001110110011110111
3100200000022121102011201
41132023103032303313
53124044024302411
6114242100513331
710206611025346
oct1361323166367
9320008542151
10101121322231
1139981394096
12177213ab847
1396c6c17617
144c73d4db5d
15296c8d33c1
hex178b4cecf7

101121322231 has 2 divisors, whose sum is σ = 101121322232. Its totient is φ = 101121322230.

The previous prime is 101121322229. The next prime is 101121322243. The reversal of 101121322231 is 132223121101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101121322231 - 21 = 101121322229 is a prime.

It is a super-2 number, since 2×1011213222312 (a number of 23 digits) contains 22 as substring.

Together with 101121322229, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101121322199 and 101121322208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560661115 + 50560661116.

It is an arithmetic number, because the mean of its divisors is an integer number (50560661116).

Almost surely, 2101121322231 is an apocalyptic number.

101121322231 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121322231 is an equidigital number, since it uses as much as digits as its factorization.

101121322231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101121322231 its reverse (132223121101), we get a palindrome (233344443332).

The spelling of 101121322231 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred thirty-one".