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101001000011053 is a prime number
BaseRepresentation
bin10110111101110000100000…
…101110100100010100101101
3111020121121020100102210001011
4112331300200232210110231
5101214300022000323203
6554451115134545221
730163036635636352
oct2675604056442455
9436547210383034
10101001000011053
112a20031346318a
12b3b2806668211
1344484796539ac
141ad268ddaa629
15ba2403c1a76d
hex5bdc20ba452d

101001000011053 has 2 divisors, whose sum is σ = 101001000011054. Its totient is φ = 101001000011052.

The previous prime is 101001000011047. The next prime is 101001000011083. The reversal of 101001000011053 is 350110000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75218795457129 + 25782204553924 = 8672877^2 + 5077618^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000011053 - 241 = 98801976755501 is a prime.

It is a super-2 number, since 2×1010010000110532 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000011083) 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, 50500500005526 + 50500500005527.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500005527).

Almost surely, 2101001000011053 is an apocalyptic number.

It is an amenable number.

101001000011053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000011053 is an equidigital number, since it uses as much as digits as its factorization.

101001000011053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 101001000011053 its reverse (350110000100101), we get a palindrome (451111000111154).

The spelling of 101001000011053 in words is "one hundred one trillion, one billion, eleven thousand, fifty-three".