Search a number
-
+
101011001009909 is a prime number
BaseRepresentation
bin10110111101111001110100…
…110101010110011011110101
3111020122120001100002011100012
4112331321310311112123311
5101214431012224304114
6554455451355030005
730163542525011414
oct2675716465263365
9436576040064305
10101011001009909
112a20458579a6a1
12b3b4737a3b305
1344493b16009b3
141ad2d5c30d47b
15ba27dbc2463e
hex5bde74d566f5

101011001009909 has 2 divisors, whose sum is σ = 101011001009910. Its totient is φ = 101011001009908.

The previous prime is 101011001009887. The next prime is 101011001010013. The reversal of 101011001009909 is 909900100110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84597280591684 + 16413720418225 = 9197678^2 + 4051385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101011001009909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011001002909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500504954 + 50505500504955.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500504955).

Almost surely, 2101011001009909 is an apocalyptic number.

It is an amenable number.

101011001009909 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001009909 is an equidigital number, since it uses as much as digits as its factorization.

101011001009909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 101011001009909 in words is "one hundred one trillion, eleven billion, one million, nine thousand, nine hundred nine".