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133413413 = 7731311993
BaseRepresentation
bin1111111001110…
…11101000100101
3100022001002210112
413330323220211
5233123212123
621123302405
73206665250
oct774735045
9308032715
10133413413
1169343521
123881aa05
1321842363
1413a0c097
15baa4d78
hex7f3ba25

133413413 has 16 divisors (see below), whose sum is σ = 155819136. Its totient is φ = 111870720.

The previous prime is 133413407. The next prime is 133413431. The reversal of 133413413 is 314314331.

It is a cyclic number.

It is not a de Polignac number, because 133413413 - 214 = 133397029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133413463) 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 in 15 ways as a sum of consecutive naturals, for example, 65945 + ... + 67937.

It is an arithmetic number, because the mean of its divisors is an integer number (9738696).

Almost surely, 2133413413 is an apocalyptic number.

It is an amenable number.

133413413 is a deficient number, since it is larger than the sum of its proper divisors (22405723).

133413413 is a wasteful number, since it uses less digits than its factorization.

133413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204.

The product of its digits is 1296, while the sum is 23.

The square root of 133413413 is about 11550.4724145811. The cubic root of 133413413 is about 510.9752108001.

Adding to 133413413 its reverse (314314331), we get a palindrome (447727744).

The spelling of 133413413 in words is "one hundred thirty-three million, four hundred thirteen thousand, four hundred thirteen".

Divisors: 1 7 73 131 511 917 1993 9563 13951 66941 145489 261083 1018423 1827581 19059059 133413413