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33415121 is a prime number
BaseRepresentation
bin111111101110…
…1111111010001
32022212122221002
41333131333101
532023240441
63152111345
7554011115
oct177357721
968778832
1033415121
1117953303
12b235555
136bcc57c
14461b745
152e00b9b
hex1fddfd1

33415121 has 2 divisors, whose sum is σ = 33415122. Its totient is φ = 33415120.

The previous prime is 33415103. The next prime is 33415133. The reversal of 33415121 is 12151433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21752896 + 11662225 = 4664^2 + 3415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33415121 is a prime.

It is a super-2 number, since 2×334151212 = 2233140622889282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33415093 and 33415102.

It is not a weakly prime, because it can be changed into another prime (33415141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16707560 + 16707561.

It is an arithmetic number, because the mean of its divisors is an integer number (16707561).

Almost surely, 233415121 is an apocalyptic number.

It is an amenable number.

33415121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33415121 is an equidigital number, since it uses as much as digits as its factorization.

33415121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 33415121 is about 5780.5813721459. The cubic root of 33415121 is about 322.0927969623.

Adding to 33415121 its reverse (12151433), we get a palindrome (45566554).

The spelling of 33415121 in words is "thirty-three million, four hundred fifteen thousand, one hundred twenty-one".