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133413460105 = 5769345710037
BaseRepresentation
bin111110001000000001…
…1111101100010001001
3110202100210221222121011
41330100003331202021
54141212321210410
6141142253243521
712432052462042
oct1742003754211
9422323858534
10133413460105
1151642469242
1221a33a935a1
13c772131103
14665897b8c9
15370c87918a
hex1f100fd889

133413460105 has 16 divisors (see below), whose sum is σ = 160366686480. Its totient is φ = 106550525952.

The previous prime is 133413460097. The next prime is 133413460123. The reversal of 133413460105 is 501064314331.

It can be written as a sum of positive squares in 8 ways, for example, as 35577127161 + 97836332944 = 188619^2 + 312788^2 .

It is a cyclic number.

It is not a de Polignac number, because 133413460105 - 23 = 133413460097 is a prime.

It is a super-2 number, since 2×1334134601052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 13287147 + ... + 13297183.

It is an arithmetic number, because the mean of its divisors is an integer number (10022917905).

Almost surely, 2133413460105 is an apocalyptic number.

It is an amenable number.

133413460105 is a deficient number, since it is larger than the sum of its proper divisors (26953226375).

133413460105 is a wasteful number, since it uses less digits than its factorization.

133413460105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 133413460105 its reverse (501064314331), we get a palindrome (634477774436).

The spelling of 133413460105 in words is "one hundred thirty-three billion, four hundred thirteen million, four hundred sixty thousand, one hundred five".

Divisors: 1 5 769 3457 3845 10037 17285 50185 2658433 7718453 13292165 34697909 38592265 173489545 26682692021 133413460105