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106319438657 is a prime number
BaseRepresentation
bin110001100000100100…
…0011110001101000001
3101011102120210002101022
41203001020132031001
53220220234014112
6120501550315225
710452460213625
oct1430110361501
9334376702338
10106319438657
11410a9607983
12187321b8b15
13a044b21063
145208463185
152b73e20d72
hex18c121e341

106319438657 has 2 divisors, whose sum is σ = 106319438658. Its totient is φ = 106319438656.

The previous prime is 106319438653. The next prime is 106319438677. The reversal of 106319438657 is 756834913601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57195592336 + 49123846321 = 239156^2 + 221639^2 .

It is a cyclic number.

It is not a de Polignac number, because 106319438657 - 22 = 106319438653 is a prime.

It is a super-2 number, since 2×1063194386572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106319438599 and 106319438608.

It is not a weakly prime, because it can be changed into another prime (106319438653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53159719328 + 53159719329.

It is an arithmetic number, because the mean of its divisors is an integer number (53159719329).

Almost surely, 2106319438657 is an apocalyptic number.

It is an amenable number.

106319438657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106319438657 is an equidigital number, since it uses as much as digits as its factorization.

106319438657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 106319438657 in words is "one hundred six billion, three hundred nineteen million, four hundred thirty-eight thousand, six hundred fifty-seven".