Search a number
-
+
123351335041 = 1121496841829
BaseRepresentation
bin111001011100001010…
…0000000000010000001
3102210101120022001220111
41302320110000002001
54010110420210131
6132400011111321
711624522022334
oct1627024000201
9383346261814
10123351335041
1148349681800
121baa6142541
13b82a60165c
145d8248661b
15331e2e8ab1
hex1cb8500081

123351335041 has 12 divisors (see below), whose sum is σ = 136494508500. Its totient is φ = 111384959840.

The previous prime is 123351335021. The next prime is 123351335059. The reversal of 123351335041 is 140533153321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16337952400 + 107013382641 = 127820^2 + 327129^2 .

It is a de Polignac number, because none of the positive numbers 2k-123351335041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123351334994 and 123351335012.

It is not an unprimeable number, because it can be changed into a prime (123351335021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3402886 + ... + 3438943.

It is an arithmetic number, because the mean of its divisors is an integer number (11374542375).

Almost surely, 2123351335041 is an apocalyptic number.

123351335041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123351335041 is a deficient number, since it is larger than the sum of its proper divisors (13143173459).

123351335041 is a wasteful number, since it uses less digits than its factorization.

123351335041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842000 (or 6841989 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 123351335041 its reverse (140533153321), we get a palindrome (263884488362).

The spelling of 123351335041 in words is "one hundred twenty-three billion, three hundred fifty-one million, three hundred thirty-five thousand, forty-one".

Divisors: 1 11 121 149 1639 18029 6841829 75260119 827861309 1019432521 11213757731 123351335041