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101321023300033 is a prime number
BaseRepresentation
bin10111000010011010100011…
…100110100010000111000001
3111021202012021022201021111211
4113002122203212202013001
5101240020423431100113
6555254122512410121
730225126261003565
oct2702324346420701
9437665238637454
10101321023300033
112a314006245899
12b444839846941
13446c6ba922694
141b03d6c5376a5
15baa8d41e5b3d
hex5c26a39a21c1

101321023300033 has 2 divisors, whose sum is σ = 101321023300034. Its totient is φ = 101321023300032.

The previous prime is 101321023300019. The next prime is 101321023300037. The reversal of 101321023300033 is 330003320123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63203883307569 + 38117139992464 = 7950087^2 + 6173908^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101321023300033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321023299977 and 101321023300013.

It is not a weakly prime, because it can be changed into another prime (101321023300037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660511650016 + 50660511650017.

It is an arithmetic number, because the mean of its divisors is an integer number (50660511650017).

Almost surely, 2101321023300033 is an apocalyptic number.

It is an amenable number.

101321023300033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321023300033 is an equidigital number, since it uses as much as digits as its factorization.

101321023300033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 101321023300033 its reverse (330003320123101), we get a palindrome (431324343423134).

The spelling of 101321023300033 in words is "one hundred one trillion, three hundred twenty-one billion, twenty-three million, three hundred thousand, thirty-three".