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10018208281 = 10129912
BaseRepresentation
bin10010101010010000…
…11011101000011001
3221212012000201012011
421111020123220121
5131004130131111
64334032545521
7503155236214
oct112510335031
927765021164
1010018208281
114281021184
121b370b22a1
13c386c41c3
146b074277b
153d97a8021
hex25521ba19

10018208281 has 9 divisors (see below), whose sum is σ = 10128601119. Its totient is φ = 9909009000.

The previous prime is 10018208231. The next prime is 10018208287. The reversal of 10018208281 is 18280281001.

It is a happy number.

The square root of 10018208281 is 100091.

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

10018208281 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9625375881 + 392832400 = 98109^2 + 19820^2 .

It is not a de Polignac number, because 10018208281 - 27 = 10018208153 is a prime.

It is a super-2 number, since 2×100182082812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10018208287) 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, 10108696 + ... + 10109686.

Almost surely, 210018208281 is an apocalyptic number.

10018208281 is the 100091-st square number.

10018208281 is the 50046-th centered octagonal number.

It is an amenable number.

10018208281 is a deficient number, since it is larger than the sum of its proper divisors (110392838).

10018208281 is an frugal number, since it uses more digits than its factorization.

10018208281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

Adding to 10018208281 its reverse (18280281001), we get a palindrome (28298489282).

It can be divided in two parts, 1001820 and 8281, that added together give a palindrome (1010101).

The spelling of 10018208281 in words is "ten billion, eighteen million, two hundred eight thousand, two hundred eighty-one".

Divisors: 1 101 991 10201 100091 982081 10109191 99190181 10018208281