Search a number
-
+
10404140110129 is a prime number
BaseRepresentation
bin1001011101100110011100…
…0100110101000100110001
31100211121220102011000020101
42113121213010311010301
52330430134332011004
634043332422112401
72122450201531243
oct227314704650461
940747812130211
1010404140110129
113351409947437
12120048557b701
135a614c43376c
1427d7c50b8093
1513098003aba4
hex97667135131

10404140110129 has 2 divisors, whose sum is σ = 10404140110130. Its totient is φ = 10404140110128.

The previous prime is 10404140110127. The next prime is 10404140110139. The reversal of 10404140110129 is 92101104140401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10299112263729 + 105027846400 = 3209223^2 + 324080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404140110129 - 21 = 10404140110127 is a prime.

It is a super-2 number, since 2×104041401101292 (a number of 27 digits) contains 22 as substring.

Together with 10404140110127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10404140110097 and 10404140110106.

It is not a weakly prime, because it can be changed into another prime (10404140110127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202070055064 + 5202070055065.

It is an arithmetic number, because the mean of its divisors is an integer number (5202070055065).

Almost surely, 210404140110129 is an apocalyptic number.

It is an amenable number.

10404140110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404140110129 is an equidigital number, since it uses as much as digits as its factorization.

10404140110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10404140110129 in words is "ten trillion, four hundred four billion, one hundred forty million, one hundred ten thousand, one hundred twenty-nine".