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123132100012123 = 653514754776689
BaseRepresentation
bin11011111111110011101101…
…000101001110100001011011
3121010222022110202112020002011
4123333303231011032201123
5112114344020100341443
61113514034510050351
734636000140053026
oct3377635505164133
9533868422466064
10123132100012123
1136263037456224
12119879ab1a99b7
1353923cbc24907
1422598a82c21bd
15e37e36278b9d
hex6ffced14e85b

123132100012123 has 16 divisors (see below), whose sum is σ = 123385587193440. Its totient is φ = 122878833949696.

The previous prime is 123132100012121. The next prime is 123132100012199. The reversal of 123132100012123 is 321210001231321.

It is a cyclic number.

It is not a de Polignac number, because 123132100012123 - 21 = 123132100012121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123132100012094 and 123132100012103.

It is not an unprimeable number, because it can be changed into a prime (123132100012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18408144363 + ... + 18408151051.

It is an arithmetic number, because the mean of its divisors is an integer number (7711599199590).

Almost surely, 2123132100012123 is an apocalyptic number.

123132100012123 is a deficient number, since it is larger than the sum of its proper divisors (253487181317).

123132100012123 is an equidigital number, since it uses as much as digits as its factorization.

123132100012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123132100012123 its reverse (321210001231321), we get a palindrome (444342101243444).

The spelling of 123132100012123 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one hundred million, twelve thousand, one hundred twenty-three".

Divisors: 1 653 5147 5477 6689 3360991 3576481 4367917 28190119 34428283 36635653 18408147707 22481668799 23923081409 188563705991 123132100012123