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10743746141 is a prime number
BaseRepresentation
bin10100000000110000…
…01000111001011101
31000201202020212000202
422000120020321131
5134000344334031
64534031433245
7530145223022
oct120030107135
930652225022
1010743746141
114613623547
1220ba085825
131022b0554b
1473cc47549
1542d3222cb
hex280608e5d

10743746141 has 2 divisors, whose sum is σ = 10743746142. Its totient is φ = 10743746140.

The previous prime is 10743746119. The next prime is 10743746191. The reversal of 10743746141 is 14164734701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10556740516 + 187005625 = 102746^2 + 13675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10743746141 - 26 = 10743746077 is a prime.

It is a super-2 number, since 2×107437461412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10743746095 and 10743746104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10743746191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5371873070 + 5371873071.

It is an arithmetic number, because the mean of its divisors is an integer number (5371873071).

Almost surely, 210743746141 is an apocalyptic number.

It is an amenable number.

10743746141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10743746141 is an equidigital number, since it uses as much as digits as its factorization.

10743746141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 10743746141 in words is "ten billion, seven hundred forty-three million, seven hundred forty-six thousand, one hundred forty-one".