Search a number
-
+
253581103341 = 3229921941669
BaseRepresentation
bin1110110000101010011…
…1001001000011101101
3220020112111120202101100
43230022213021003231
513123313230301331
6312254335033313
724214655546166
oct3541247110355
9806474522340
10253581103341
11985a7a16195
124118b96b839
131abb2c83b57
14c3b828276d
1568e23e6ae6
hex3b0a9c90ed

253581103341 has 12 divisors (see below), whose sum is σ = 366296446620. Its totient is φ = 169048239360.

The previous prime is 253581103339. The next prime is 253581103343. The reversal of 253581103341 is 143301185352.

253581103341 is a `hidden beast` number, since 2 + 5 + 3 + 581 + 1 + 0 + 33 + 41 = 666.

253581103341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253581103339) and next prime (253581103343).

It can be written as a sum of positive squares in 2 ways, for example, as 153754173225 + 99826930116 = 392115^2 + 315954^2 .

It is not a de Polignac number, because 253581103341 - 21 = 253581103339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253581103296 and 253581103305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253581103343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201546 + ... + 740123.

It is an arithmetic number, because the mean of its divisors is an integer number (30524703885).

Almost surely, 2253581103341 is an apocalyptic number.

It is an amenable number.

253581103341 is a deficient number, since it is larger than the sum of its proper divisors (112715343279).

253581103341 is a wasteful number, since it uses less digits than its factorization.

253581103341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971596 (or 971593 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 253581103341 its reverse (143301185352), we get a palindrome (396882288693).

The spelling of 253581103341 in words is "two hundred fifty-three billion, five hundred eighty-one million, one hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 29921 89763 269289 941669 2825007 8475021 28175678149 84527034447 253581103341