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257322203141 = 547958749069
BaseRepresentation
bin1110111110100110011…
…0010011100000000101
3220121012020010022112012
43233221212103200011
513203443441000031
6314113455504005
724406453431533
oct3575146234005
9817166108465
10257322203141
119a147747903
1241a54828005
131b35b067a83
14c651081153
156a60a7ab2b
hex3be9993805

257322203141 has 8 divisors (see below), whose sum is σ = 257824771680. Its totient is φ = 256819753008.

The previous prime is 257322203119. The next prime is 257322203189. The reversal of 257322203141 is 141302223752.

257322203141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257322203141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257322203098 and 257322203107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257322203191) 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, 5219555 + ... + 5268623.

It is an arithmetic number, because the mean of its divisors is an integer number (32228096460).

Almost surely, 2257322203141 is an apocalyptic number.

It is an amenable number.

257322203141 is a deficient number, since it is larger than the sum of its proper divisors (502568539).

257322203141 is an equidigital number, since it uses as much as digits as its factorization.

257322203141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59203.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 257322203141 its reverse (141302223752), we get a palindrome (398624426893).

The spelling of 257322203141 in words is "two hundred fifty-seven billion, three hundred twenty-two million, two hundred three thousand, one hundred forty-one".

Divisors: 1 547 9587 49069 5244089 26840743 470424503 257322203141