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133122110313 = 3293149359329
BaseRepresentation
bin111101111111010110…
…0100011001101101001
3110201121111201212211010
41323332230203031221
54140113230012223
6141053324454133
712421614160533
oct1737654431551
9421544655733
10133122110313
1151502a62895
12219723aa349
13c72697169a
14662bdba853
1536e1ec8393
hex1efeb23369

133122110313 has 16 divisors (see below), whose sum is σ = 189539827200. Its totient is φ = 82923671040.

The previous prime is 133122110267. The next prime is 133122110353. The reversal of 133122110313 is 313011221331.

It is a happy number.

It is not a de Polignac number, because 133122110313 - 26 = 133122110249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133122110313.

It is not an unprimeable number, because it can be changed into a prime (133122110353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24676968 + ... + 24682361.

It is an arithmetic number, because the mean of its divisors is an integer number (11846239200).

Almost surely, 2133122110313 is an apocalyptic number.

It is an amenable number.

133122110313 is a deficient number, since it is larger than the sum of its proper divisors (56417716887).

133122110313 is a wasteful number, since it uses less digits than its factorization.

133122110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49359392.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133122110313 its reverse (313011221331), we get a palindrome (446133331644).

The spelling of 133122110313 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 29 31 87 93 899 2697 49359329 148077987 1431420541 1530139199 4294261623 4590417597 44374036771 133122110313