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201123758257 is a prime number
BaseRepresentation
bin1011101101001111101…
…0010000000010110001
3201020010122211112000121
42323103322100002301
511243400140231012
6232221152050241
720350014511102
oct2732372200261
9636118745017
10201123758257
1178329133434
1232b8bb33981
1315c7309aaa6
149a3d4463a9
155371e4ea07
hex2ed3e900b1

201123758257 has 2 divisors, whose sum is σ = 201123758258. Its totient is φ = 201123758256.

The previous prime is 201123758243. The next prime is 201123758263. The reversal of 201123758257 is 752857321102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190891221921 + 10232536336 = 436911^2 + 101156^2 .

It is a cyclic number.

It is not a de Polignac number, because 201123758257 - 235 = 166764019889 is a prime.

It is a super-2 number, since 2×2011237582572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201123758557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561879128 + 100561879129.

It is an arithmetic number, because the mean of its divisors is an integer number (100561879129).

Almost surely, 2201123758257 is an apocalyptic number.

It is an amenable number.

201123758257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201123758257 is an equidigital number, since it uses as much as digits as its factorization.

201123758257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 201123758257 in words is "two hundred one billion, one hundred twenty-three million, seven hundred fifty-eight thousand, two hundred fifty-seven".