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103219726041 = 3293712239977
BaseRepresentation
bin110000000100001100…
…0000000011011011001
3100212102120010101001100
41200020120000123121
53142343222213131
6115230220542013
710312611123615
oct1401030003331
9325376111040
10103219726041
113a858931a13
12180080b1909
13996c896a93
144dd2902345
152a41c327e6
hex18086006d9

103219726041 has 12 divisors (see below), whose sum is σ = 149254291732. Its totient is φ = 68739705216.

The previous prime is 103219726037. The next prime is 103219726111. The reversal of 103219726041 is 140627912301.

103219726041 is a `hidden beast` number, since 1 + 0 + 32 + 19 + 7 + 2 + 604 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30100862016 + 73118864025 = 173496^2 + 270405^2 .

It is not a de Polignac number, because 103219726041 - 22 = 103219726037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103219725987 and 103219726005.

It is not an unprimeable number, because it can be changed into a prime (103219721041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6111556 + ... + 6128421.

Almost surely, 2103219726041 is an apocalyptic number.

It is an amenable number.

103219726041 is a deficient number, since it is larger than the sum of its proper divisors (46034565691).

103219726041 is a wasteful number, since it uses less digits than its factorization.

103219726041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12240920 (or 12240917 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 103219726041 in words is "one hundred three billion, two hundred nineteen million, seven hundred twenty-six thousand, forty-one".

Divisors: 1 3 9 937 2811 8433 12239977 36719931 110159793 11468858449 34406575347 103219726041