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241755137707253 is a prime number
BaseRepresentation
bin110110111110000000000001…
…000110110000110011110101
31011200222120021012210122010112
4312332000001012300303311
5223141404010223113003
62214100435502032405
7101631142452625112
oct6676000106606365
91150876235718115
10241755137707253
1170037861768505
1223145922578705
13a4b8547574291
14439b022647909
151ce39150283d8
hexdbe0011b0cf5

241755137707253 has 2 divisors, whose sum is σ = 241755137707254. Its totient is φ = 241755137707252.

The previous prime is 241755137707243. The next prime is 241755137707289. The reversal of 241755137707253 is 352707731557142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145672757833009 + 96082379874244 = 12069497^2 + 9802162^2 .

It is a cyclic number.

It is not a de Polignac number, because 241755137707253 - 226 = 241755070598389 is a prime.

It is a super-2 number, since 2×2417551377072532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241755137707192 and 241755137707201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241755137707243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120877568853626 + 120877568853627.

It is an arithmetic number, because the mean of its divisors is an integer number (120877568853627).

Almost surely, 2241755137707253 is an apocalyptic number.

It is an amenable number.

241755137707253 is a deficient number, since it is larger than the sum of its proper divisors (1).

241755137707253 is an equidigital number, since it uses as much as digits as its factorization.

241755137707253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43218000, while the sum is 59.

The spelling of 241755137707253 in words is "two hundred forty-one trillion, seven hundred fifty-five billion, one hundred thirty-seven million, seven hundred seven thousand, two hundred fifty-three".