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330023300129 is a prime number
BaseRepresentation
bin1001100110101101110…
…10111110110000100001
31011112211220001200212222
410303112322332300201
520401341431101004
6411335520400425
732562166523525
oct4632672766041
91145756050788
10330023300129
11117a64605036
1253b64176115
1325175c91263
1411d8a6d3d85
1588b838b7be
hex4cd6ebec21

330023300129 has 2 divisors, whose sum is σ = 330023300130. Its totient is φ = 330023300128.

The previous prime is 330023300069. The next prime is 330023300143. The reversal of 330023300129 is 921003320033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321515082529 + 8508217600 = 567023^2 + 92240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330023300129 is a prime.

It is a super-2 number, since 2×3300233001292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330023300098 and 330023300107.

It is not a weakly prime, because it can be changed into another prime (330023320129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165011650064 + 165011650065.

It is an arithmetic number, because the mean of its divisors is an integer number (165011650065).

Almost surely, 2330023300129 is an apocalyptic number.

It is an amenable number.

330023300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

330023300129 is an equidigital number, since it uses as much as digits as its factorization.

330023300129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 330023300129 in words is "three hundred thirty billion, twenty-three million, three hundred thousand, one hundred twenty-nine".