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33330113 is a prime number
BaseRepresentation
bin111111100100…
…1001111000001
32022201100022122
41333021033001
532013030423
63150214025
7553205225
oct177111701
968640278
1033330113
11178a5453
12b1b4315
136b9c97b
1445d8785
152dd58c8
hex1fc93c1

33330113 has 2 divisors, whose sum is σ = 33330114. Its totient is φ = 33330112.

The previous prime is 33330109. The next prime is 33330119. The reversal of 33330113 is 31103333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33258289 + 71824 = 5767^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 33330113 - 22 = 33330109 is a prime.

It is a super-2 number, since 2×333301132 = 2221792865185538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33330091 and 33330100.

It is not a weakly prime, because it can be changed into another prime (33330119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16665056 + 16665057.

It is an arithmetic number, because the mean of its divisors is an integer number (16665057).

Almost surely, 233330113 is an apocalyptic number.

It is an amenable number.

33330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33330113 is an equidigital number, since it uses as much as digits as its factorization.

33330113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 33330113 is about 5773.2237961125. The cubic root of 33330113 is about 321.8194305426.

Adding to 33330113 its reverse (31103333), we get a palindrome (64433446).

The spelling of 33330113 in words is "thirty-three million, three hundred thirty thousand, one hundred thirteen".