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1050101051137 is a prime number
BaseRepresentation
bin11110100011111101110…
…01100110111100000001
310201101111100101112012121
433101332321212330001
5114201101332114022
62122224301524241
7135603324442345
oct17217671467401
93641440345177
101050101051137
11375388738186
1214b624873681
1378040c59628
1438b7a35d625
151c4aee1c2c7
hexf47ee66f01

1050101051137 has 2 divisors, whose sum is σ = 1050101051138. Its totient is φ = 1050101051136.

The previous prime is 1050101051113. The next prime is 1050101051231. The reversal of 1050101051137 is 7311501010501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1037268919296 + 12832131841 = 1018464^2 + 113279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1050101051137 is a prime.

It is a super-2 number, since 2×10501010511372 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1050101051107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525050525568 + 525050525569.

It is an arithmetic number, because the mean of its divisors is an integer number (525050525569).

Almost surely, 21050101051137 is an apocalyptic number.

It is an amenable number.

1050101051137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1050101051137 is an equidigital number, since it uses as much as digits as its factorization.

1050101051137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 25.

Adding to 1050101051137 its reverse (7311501010501), we get a palindrome (8361602061638).

The spelling of 1050101051137 in words is "one trillion, fifty billion, one hundred one million, fifty-one thousand, one hundred thirty-seven".