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10000313002033 is a prime number
BaseRepresentation
bin1001000110000110000100…
…0110101010100000110001
31022102000120000012101220021
42101201201012222200301
52302321120112031113
633134025205443441
72051333035665544
oct221414106524061
938360500171807
1010000313002033
113206121a89092
121156164710581
13577043c59423
1426803692885b
151251e766e48d
hex918611aa831

10000313002033 has 2 divisors, whose sum is σ = 10000313002034. Its totient is φ = 10000313002032.

The previous prime is 10000313002019. The next prime is 10000313002157. The reversal of 10000313002033 is 33020031300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7685131650849 + 2315181351184 = 2772207^2 + 1521572^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000313002033 - 29 = 10000313001521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000313001998 and 10000313002016.

It is not a weakly prime, because it can be changed into another prime (10000313002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000156501016 + 5000156501017.

It is an arithmetic number, because the mean of its divisors is an integer number (5000156501017).

Almost surely, 210000313002033 is an apocalyptic number.

It is an amenable number.

10000313002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000313002033 is an equidigital number, since it uses as much as digits as its factorization.

10000313002033 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000313002033 its reverse (33020031300001), we get a palindrome (43020344302034).

The spelling of 10000313002033 in words is "ten trillion, three hundred thirteen million, two thousand, thirty-three".