Search a number
-
+
253203151041 = 339377894483
BaseRepresentation
bin1110101111010000010…
…1010111100011000001
3220012120011101210022000
43223310011113203001
513122030001313131
6312153034134213
724202416162351
oct3536405274301
9805504353260
10253203151041
119842363a015
12410a5281369
131ab52891a39
14c37ddbab61
1568be13ace6
hex3af41578c1

253203151041 has 8 divisors (see below), whose sum is σ = 375115779360. Its totient is φ = 168802100676.

The previous prime is 253203151009. The next prime is 253203151057. The reversal of 253203151041 is 140151302352.

253203151041 is a `hidden beast` number, since 25 + 320 + 315 + 1 + 0 + 4 + 1 = 666.

253203151041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253203151041 - 25 = 253203151009 is a prime.

It is a super-2 number, since 2×2532031510412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9377894483 = 253203151041 / (2 + 5 + 3 + 2 + 0 + 3 + 1 + 5 + 1 + 0 + 4 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 253203150996 and 253203151014.

It is not an unprimeable number, because it can be changed into a prime (253203151001) 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 7 ways as a sum of consecutive naturals, for example, 4688947215 + ... + 4688947268.

It is an arithmetic number, because the mean of its divisors is an integer number (46889472420).

Almost surely, 2253203151041 is an apocalyptic number.

It is an amenable number.

253203151041 is a deficient number, since it is larger than the sum of its proper divisors (121912628319).

253203151041 is an equidigital number, since it uses as much as digits as its factorization.

253203151041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377894492 (or 9377894486 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 253203151041 its reverse (140151302352), we get a palindrome (393354453393).

The spelling of 253203151041 in words is "two hundred fifty-three billion, two hundred three million, one hundred fifty-one thousand, forty-one".

Divisors: 1 3 9 27 9377894483 28133683449 84401050347 253203151041