Search a number
-
+
101371951781 is a prime number
BaseRepresentation
bin101111001101000111…
…1010011101010100101
3100200122210012201021122
41132122033103222211
53130102204424111
6114323012423325
710216043241632
oct1363217235245
9320583181248
10101371951781
1139a9a907851
1217791317b45
139736b1a729
144c99351189
1529848ddcdb
hex179a3d3aa5

101371951781 has 2 divisors, whose sum is σ = 101371951782. Its totient is φ = 101371951780.

The previous prime is 101371951721. The next prime is 101371951801. The reversal of 101371951781 is 187159173101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89003175556 + 12368776225 = 298334^2 + 111215^2 .

It is a cyclic number.

It is not a de Polignac number, because 101371951781 - 214 = 101371935397 is a prime.

It is a super-3 number, since 3×1013719517813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101371951721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50685975890 + 50685975891.

It is an arithmetic number, because the mean of its divisors is an integer number (50685975891).

Almost surely, 2101371951781 is an apocalyptic number.

It is an amenable number.

101371951781 is a deficient number, since it is larger than the sum of its proper divisors (1).

101371951781 is an equidigital number, since it uses as much as digits as its factorization.

101371951781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 44.

The spelling of 101371951781 in words is "one hundred one billion, three hundred seventy-one million, nine hundred fifty-one thousand, seven hundred eighty-one".