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251042031443241 = 32109255904211461
BaseRepresentation
bin111001000101001001000111…
…000110111001110100101001
31012220212101100210210021221100
4321011021013012321310221
5230401033040022140431
62245531041145032013
7103610121365126553
oct7105110706716451
91186771323707840
10251042031443241
1172a98367108785
12241a5764485609
13aa10214b6615c
1445dc6db9644d3
151e052a54714e6
hexe452471b9d29

251042031443241 has 12 divisors (see below), whose sum is σ = 365943022390660. Its totient is φ = 165825929026080.

The previous prime is 251042031443237. The next prime is 251042031443251. The reversal of 251042031443241 is 142344130240152.

251042031443241 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 4 + 203 + 1 + 443 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202982821817616 + 48059209625625 = 14247204^2 + 6932475^2 .

It is not a de Polignac number, because 251042031443241 - 22 = 251042031443237 is a prime.

It is a super-2 number, since 2×2510420314432412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251042031443196 and 251042031443205.

It is not an unprimeable number, because it can be changed into a prime (251042031443251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127952104750 + ... + 127952106711.

Almost surely, 2251042031443241 is an apocalyptic number.

It is an amenable number.

251042031443241 is a deficient number, since it is larger than the sum of its proper divisors (114900990947419).

251042031443241 is a wasteful number, since it uses less digits than its factorization.

251042031443241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255904211576 (or 255904211573 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 251042031443241 its reverse (142344130240152), we get a palindrome (393386161683393).

The spelling of 251042031443241 in words is "two hundred fifty-one trillion, forty-two billion, thirty-one million, four hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 109 327 981 255904211461 767712634383 2303137903149 27893559049249 83680677147747 251042031443241