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10401142343341 is a prime number
BaseRepresentation
bin1001011101011011010001…
…1001010000011010101101
31100211100011111022200021211
42113112310121100122231
52330403014414441331
634042115133354421
72122313001116341
oct227266431203255
940740144280254
1010401142343341
113350110771922
1211bb989638a11
135a5a92351869
1427d5bccd3621
15130856c888b1
hex975b46506ad

10401142343341 has 2 divisors, whose sum is σ = 10401142343342. Its totient is φ = 10401142343340.

The previous prime is 10401142343329. The next prime is 10401142343351. The reversal of 10401142343341 is 14334324110401.

10401142343341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9770156775625 + 630985567716 = 3125725^2 + 794346^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401142343341 - 27 = 10401142343213 is a prime.

It is a super-2 number, since 2×104011423433412 (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 (10401142343351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200571171670 + 5200571171671.

It is an arithmetic number, because the mean of its divisors is an integer number (5200571171671).

Almost surely, 210401142343341 is an apocalyptic number.

It is an amenable number.

10401142343341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401142343341 is an equidigital number, since it uses as much as digits as its factorization.

10401142343341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 10401142343341 its reverse (14334324110401), we get a palindrome (24735466453742).

The spelling of 10401142343341 in words is "ten trillion, four hundred one billion, one hundred forty-two million, three hundred forty-three thousand, three hundred forty-one".