Search a number
-
+
1035967949129 is a prime number
BaseRepresentation
bin11110001001101001000…
…00000110100101001001
310200001000101110120000002
433010310200012211021
5113433130243333004
62111530032252345
7134563152163331
oct17046440064511
93601011416002
101035967949129
1136a395999493
1214893b6a10b5
13768cabb7089
14381d931a0c1
151be3429661e
hexf134806949

1035967949129 has 2 divisors, whose sum is σ = 1035967949130. Its totient is φ = 1035967949128.

The previous prime is 1035967949117. The next prime is 1035967949147. The reversal of 1035967949129 is 9219497695301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 911251614025 + 124716335104 = 954595^2 + 353152^2 .

It is an emirp because it is prime and its reverse (9219497695301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1035967949129 is a prime.

It is a super-3 number, since 3×10359679491293 (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1035967949179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517983974564 + 517983974565.

It is an arithmetic number, because the mean of its divisors is an integer number (517983974565).

Almost surely, 21035967949129 is an apocalyptic number.

It is an amenable number.

1035967949129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035967949129 is an equidigital number, since it uses as much as digits as its factorization.

1035967949129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33067440, while the sum is 65.

The spelling of 1035967949129 in words is "one trillion, thirty-five billion, nine hundred sixty-seven million, nine hundred forty-nine thousand, one hundred twenty-nine".