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213488889565081 = 13211239432
BaseRepresentation
bin110000100010101011000001…
…011011010000111110011001
31000222220100010210002201121211
4300202223001123100332121
5210440300221212040311
62034015235242103121
762653030462660204
oct6042530133207631
91028810123081554
10213488889565081
116202a147574319
121bb3b6b11aaaa1
139217bba312400
143aa0cbb45293b
1519a3508c53821
hexc22ac16d0f99

213488889565081 has 9 divisors (see below), whose sum is σ = 231174565388319. Its totient is φ = 197066491955736.

The previous prime is 213488889565057. The next prime is 213488889565111. The reversal of 213488889565081 is 180565988884312.

The square root of 213488889565081 is 14611259.

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., 31581196681225 + 181907692883856 = 5619715^2 + 13487316^2 .

It is a de Polignac number, because none of the positive numbers 2k-213488889565081 is a prime.

It is a super-2 number, since 2×2134888895650812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213488889564989 and 213488889565007.

It is not an unprimeable number, because it can be changed into a prime (213488889565781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189384396 + ... + 190508338.

Almost surely, 2213488889565081 is an apocalyptic number.

213488889565081 is the 14611259-th square number.

213488889565081 is the 7305630-th centered octagonal number.

It is an amenable number.

213488889565081 is a deficient number, since it is larger than the sum of its proper divisors (17685675823238).

213488889565081 is an frugal number, since it uses more digits than its factorization.

213488889565081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247912 (or 1123956 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 76.

The spelling of 213488889565081 in words is "two hundred thirteen trillion, four hundred eighty-eight billion, eight hundred eighty-nine million, five hundred sixty-five thousand, eighty-one".

Divisors: 1 13 169 1123943 14611259 189946367 1263247867249 16422222274237 213488889565081