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2180102451289 = 74301332
BaseRepresentation
bin11111101110011000001…
…110110111000001011001
321201102020002101022221221
4133232120032313001121
5241204322211420124
64345305241332041
7313335654040000
oct37563016670131
97642202338857
102180102451289
11770637aa9154
122b2627a97021
1312a77649a089
1477736117c37
153ba996c1ce4
hex1fb983b7059

2180102451289 has 15 divisors (see below), whose sum is σ = 2543385932223. Its totient is φ = 1868597230248.

The previous prime is 2180102451287. The next prime is 2180102451341. The reversal of 2180102451289 is 9821542010812.

The square root of 2180102451289 is 1476517.

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., 668412529225 + 1511689922064 = 817565^2 + 1229508^2 .

It is not a de Polignac number, because 2180102451289 - 21 = 2180102451287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2180102451287) 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 14 ways as a sum of consecutive naturals, for example, 72334267 + ... + 72364399.

Almost surely, 22180102451289 is an apocalyptic number.

2180102451289 is the 1476517-th square number.

2180102451289 is the 738259-th centered octagonal number.

It is an amenable number.

2180102451289 is a deficient number, since it is larger than the sum of its proper divisors (363283480934).

2180102451289 is an frugal number, since it uses more digits than its factorization.

2180102451289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60294 (or 30140 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 2180102451289 in words is "two trillion, one hundred eighty billion, one hundred two million, four hundred fifty-one thousand, two hundred eighty-nine".

Divisors: 1 7 49 343 2401 30133 210931 1476517 10335619 72349333 907997689 6355983823 44491886761 311443207327 2180102451289