Search a number
-
+
10400342340341 is a prime number
BaseRepresentation
bin1001011101011000010010…
…1101011111001011110101
31100211021002201222022111002
42113112010231133023311
52330344400114342331
634041503514453045
72122254115161152
oct227260455371365
940737081868432
1010400342340341
11334a840129818
1211bb7a5734185
135a599569a4c5
1427d544967229
1513080b9109cb
hex97584b5f2f5

10400342340341 has 2 divisors, whose sum is σ = 10400342340342. Its totient is φ = 10400342340340.

The previous prime is 10400342340301. The next prime is 10400342340343. The reversal of 10400342340341 is 14304324300401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9377252572900 + 1023089767441 = 3062230^2 + 1011479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10400342340341 is a prime.

Together with 10400342340343, 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 (10400342340343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200171170170 + 5200171170171.

It is an arithmetic number, because the mean of its divisors is an integer number (5200171170171).

Almost surely, 210400342340341 is an apocalyptic number.

It is an amenable number.

10400342340341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400342340341 is an equidigital number, since it uses as much as digits as its factorization.

10400342340341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10400342340341 its reverse (14304324300401), we get a palindrome (24704666640742).

The spelling of 10400342340341 in words is "ten trillion, four hundred billion, three hundred forty-two million, three hundred forty thousand, three hundred forty-one".