Search a number
-
+
10400343003293 is a prime number
BaseRepresentation
bin1001011101011000010011…
…0000000001000010011101
31100211021002210012222212212
42113112010300001002131
52330344400302101133
634041503541010205
72122254123622025
oct227260460010235
940737083188785
1010400343003293
11334a840541911
1211bb7a59b3965
135a5995870199
1427d544a9aa85
1513080b9e2148
hex97584c0109d

10400343003293 has 2 divisors, whose sum is σ = 10400343003294. Its totient is φ = 10400343003292.

The previous prime is 10400343003269. The next prime is 10400343003301. The reversal of 10400343003293 is 39230034300401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10365193128004 + 35149875289 = 3219502^2 + 187483^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400343003293 - 212 = 10400342999197 is a prime.

It is a super-2 number, since 2×104003430032932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400343803293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200171501646 + 5200171501647.

It is an arithmetic number, because the mean of its divisors is an integer number (5200171501647).

Almost surely, 210400343003293 is an apocalyptic number.

It is an amenable number.

10400343003293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400343003293 is an equidigital number, since it uses as much as digits as its factorization.

10400343003293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 10400343003293 its reverse (39230034300401), we get a palindrome (49630377303694).

The spelling of 10400343003293 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, two hundred ninety-three".