Search a number
-
+
101033300141 is a prime number
BaseRepresentation
bin101111000011000001…
…1011101000010101101
3100122210011222102120022
41132012003131002231
53123404011101031
6114225234131525
710204461611234
oct1360603350255
9318704872508
10101033300141
1139936733864
12176b7a20ba5
1396b1908a47
144c66399b1b
152964ce797b
hex17860dd0ad

101033300141 has 2 divisors, whose sum is σ = 101033300142. Its totient is φ = 101033300140.

The previous prime is 101033300119. The next prime is 101033300171. The reversal of 101033300141 is 141003330101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73533711241 + 27499588900 = 271171^2 + 165830^2 .

It is an emirp because it is prime and its reverse (141003330101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101033300141 - 230 = 99959558317 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101033300171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516650070 + 50516650071.

It is an arithmetic number, because the mean of its divisors is an integer number (50516650071).

Almost surely, 2101033300141 is an apocalyptic number.

It is an amenable number.

101033300141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033300141 is an equidigital number, since it uses as much as digits as its factorization.

101033300141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101033300141 its reverse (141003330101), we get a palindrome (242036630242).

The spelling of 101033300141 in words is "one hundred one billion, thirty-three million, three hundred thousand, one hundred forty-one".