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10406036074117 is a prime number
BaseRepresentation
bin1001011101101101100000…
…0101010110111010000101
31100211210210112201221212211
42113123120011112322011
52330443030213332432
634044244511143421
72122545163131115
oct227333005267205
940753715657784
1010406036074117
1133521a2096222
121200914514b71
135a6392183248
1427d924c11045
15130a416ecd47
hex976d8156e85

10406036074117 has 2 divisors, whose sum is σ = 10406036074118. Its totient is φ = 10406036074116.

The previous prime is 10406036074051. The next prime is 10406036074153. The reversal of 10406036074117 is 71147063060401.

10406036074117 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., 5239479798081 + 5166556276036 = 2288991^2 + 2273006^2 .

It is an emirp because it is prime and its reverse (71147063060401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10406036074117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10406036074117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406036074157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203018037058 + 5203018037059.

It is an arithmetic number, because the mean of its divisors is an integer number (5203018037059).

Almost surely, 210406036074117 is an apocalyptic number.

It is an amenable number.

10406036074117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406036074117 is an equidigital number, since it uses as much as digits as its factorization.

10406036074117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 10406036074117 in words is "ten trillion, four hundred six billion, thirty-six million, seventy-four thousand, one hundred seventeen".