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3120333101 is a prime number
BaseRepresentation
bin1011100111111100…
…1000000100101101
322001110110100022122
42321333020010231
522342301124401
61233343322325
7140216252024
oct27177100455
98043410278
103120333101
11136138a496
12730bb03a5
133a95c6c62
142185ab8bb
15133e1321b
hexb9fc812d

3120333101 has 2 divisors, whose sum is σ = 3120333102. Its totient is φ = 3120333100.

The previous prime is 3120333001. The next prime is 3120333109. The reversal of 3120333101 is 1013330213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2981706025 + 138627076 = 54605^2 + 11774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3120333101 is a prime.

It is a super-2 number, since 2×31203331012 = 19472957322392552402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3120333101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3120333109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560166550 + 1560166551.

It is an arithmetic number, because the mean of its divisors is an integer number (1560166551).

Almost surely, 23120333101 is an apocalyptic number.

It is an amenable number.

3120333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3120333101 is an equidigital number, since it uses as much as digits as its factorization.

3120333101 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 17.

The square root of 3120333101 is about 55859.9418277535. The cubic root of 3120333101 is about 1461.2807147512.

Adding to 3120333101 its reverse (1013330213), we get a palindrome (4133663314).

The spelling of 3120333101 in words is "three billion, one hundred twenty million, three hundred thirty-three thousand, one hundred one".