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1001030023033 is a prime number
BaseRepresentation
bin11101001000100100000…
…10011111011101111001
310112200211111121000110021
432210102002133131321
5112400102141214113
62043511123250441
7132215312542435
oct16442202373571
93480744530407
101001030023033
113565973954a7
1214200ab19a21
13735207b8321
143664316b9c5
151b08bdc848d
hexe91209f779

1001030023033 has 2 divisors, whose sum is σ = 1001030023034. Its totient is φ = 1001030023032.

The previous prime is 1001030023027. The next prime is 1001030023043. The reversal of 1001030023033 is 3303200301001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000934218089 + 95804944 = 1000467^2 + 9788^2 .

It is an emirp because it is prime and its reverse (3303200301001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001030023033 - 225 = 1000996468601 is a prime.

It is a super-2 number, since 2×10010300230332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001030022998 and 1001030023016.

It is not a weakly prime, because it can be changed into another prime (1001030023013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500515011516 + 500515011517.

It is an arithmetic number, because the mean of its divisors is an integer number (500515011517).

Almost surely, 21001030023033 is an apocalyptic number.

It is an amenable number.

1001030023033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001030023033 is an equidigital number, since it uses as much as digits as its factorization.

1001030023033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1001030023033 its reverse (3303200301001), we get a palindrome (4304230324034).

The spelling of 1001030023033 in words is "one trillion, one billion, thirty million, twenty-three thousand, thirty-three".