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104323186081 = 173218672
BaseRepresentation
bin110000100101000100…
…1010111110110100001
3100222021110110221122201
41201022021113312201
53202123213423311
6115531515533201
710352140310362
oct1411211276641
9328243427581
10104323186081
114027479a864
121827575a201
139ab738960a
1450992a1b69
152aa8a4d9c1
hex184a257da1

104323186081 has 9 divisors (see below), whose sum is σ = 104985928371. Its totient is φ = 103664607432.

The previous prime is 104323186049. The next prime is 104323186091. The reversal of 104323186081 is 180681323401.

The square root of 104323186081 is 322991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94897883025 + 9425303056 = 308055^2 + 97084^2 .

It is not a de Polignac number, because 104323186081 - 25 = 104323186049 is a prime.

It is a super-2 number, since 2×1043231860812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104323186081.

It is not an unprimeable number, because it can be changed into a prime (104323186021) 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 8 ways as a sum of consecutive naturals, for example, 55876510 + ... + 55878376.

Almost surely, 2104323186081 is an apocalyptic number.

104323186081 is the 322991-st square number.

104323186081 is the 161496-th centered octagonal number.

It is an amenable number.

104323186081 is a deficient number, since it is larger than the sum of its proper divisors (662742290).

104323186081 is an frugal number, since it uses more digits than its factorization.

104323186081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 104323186081 in words is "one hundred four billion, three hundred twenty-three million, one hundred eighty-six thousand, eighty-one".

Divisors: 1 173 1867 29929 322991 3485689 55877443 603024197 104323186081