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13023120225121 = 97257522408449
BaseRepresentation
bin1011110110000010111001…
…1101000111001101100001
31201002222221122021122201121
42331200232131013031201
53201332322234200441
643410423331132241
72512614026310466
oct275405635071541
951088848248647
1013023120225121
11417108a945066
121563b74744081
137360c891cab6
1433047288b66d
15178b642e3dd1
hexbd82e747361

13023120225121 has 8 divisors (see below), whose sum is σ = 13208575249800. Its totient is φ = 12838710018048.

The previous prime is 13023120225077. The next prime is 13023120225139. The reversal of 13023120225121 is 12152202132031.

It can be written as a sum of positive squares in 4 ways, for example, as 3117396328225 + 9905723896896 = 1765615^2 + 3147336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13023120225121 - 27 = 13023120224993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13023120225151) 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 7 ways as a sum of consecutive naturals, for example, 261179296 + ... + 261229153.

It is an arithmetic number, because the mean of its divisors is an integer number (1651071906225).

Almost surely, 213023120225121 is an apocalyptic number.

It is an amenable number.

13023120225121 is a deficient number, since it is larger than the sum of its proper divisors (185455024679).

13023120225121 is an equidigital number, since it uses as much as digits as its factorization.

13023120225121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522408803.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13023120225121 its reverse (12152202132031), we get a palindrome (25175322357152).

The spelling of 13023120225121 in words is "thirteen trillion, twenty-three billion, one hundred twenty million, two hundred twenty-five thousand, one hundred twenty-one".

Divisors: 1 97 257 24929 522408449 50673619553 134258971393 13023120225121