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256105104137 is a prime number
BaseRepresentation
bin1110111010000100001…
…1011100001100001001
3220111001101221021120022
43232201003130030021
513144000401313022
6313353021110225
724334344316121
oct3564103341411
9814041837508
10256105104137
1199682722363
12417750b8375
131b1c5b6774c
14c57757dc81
1569ddcb3c42
hex3ba10dc309

256105104137 has 2 divisors, whose sum is σ = 256105104138. Its totient is φ = 256105104136.

The previous prime is 256105104089. The next prime is 256105104179. The reversal of 256105104137 is 731401501652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247029874441 + 9075229696 = 497021^2 + 95264^2 .

It is a cyclic number.

It is not a de Polignac number, because 256105104137 - 210 = 256105103113 is a prime.

It is a super-2 number, since 2×2561051041372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256105104097 and 256105104106.

It is not a weakly prime, because it can be changed into another prime (256105124137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128052552068 + 128052552069.

It is an arithmetic number, because the mean of its divisors is an integer number (128052552069).

Almost surely, 2256105104137 is an apocalyptic number.

It is an amenable number.

256105104137 is a deficient number, since it is larger than the sum of its proper divisors (1).

256105104137 is an equidigital number, since it uses as much as digits as its factorization.

256105104137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 256105104137 its reverse (731401501652), we get a palindrome (987506605789).

The spelling of 256105104137 in words is "two hundred fifty-six billion, one hundred five million, one hundred four thousand, one hundred thirty-seven".