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1001102210993 is a prime number
BaseRepresentation
bin11101001000101100101…
…01110111011110110001
310112201000112102112201102
432210112111313132301
5112400224131222433
62043522222414145
7132220150251113
oct16442625673661
93481015375642
101001102210993
11356624110375
1214202b131355
13735327419b1
143664c99d3b3
151b0933d74e8
hexe9165777b1

1001102210993 has 2 divisors, whose sum is σ = 1001102210994. Its totient is φ = 1001102210992.

The previous prime is 1001102210987. The next prime is 1001102211061. The reversal of 1001102210993 is 3990122011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983415338929 + 17686872064 = 991673^2 + 132992^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001102210993 - 28 = 1001102210737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001102210393) 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, 500551105496 + 500551105497.

It is an arithmetic number, because the mean of its divisors is an integer number (500551105497).

Almost surely, 21001102210993 is an apocalyptic number.

It is an amenable number.

1001102210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102210993 is an equidigital number, since it uses as much as digits as its factorization.

1001102210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 1001102210993 its reverse (3990122011001), we get a palindrome (4991224221994).

The spelling of 1001102210993 in words is "one trillion, one billion, one hundred two million, two hundred ten thousand, nine hundred ninety-three".