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102680460081 = 341267660001
BaseRepresentation
bin101111110100000111…
…0110111101100110001
3100211000222101211020000
41133220032313230301
53140242144210311
6115100514340213
710263342336633
oct1375016675461
9324028354200
10102680460081
113a601496471
1217a9758a669
1398b4c442b4
144d81048a53
152a0e710056
hex17e83b7b31

102680460081 has 10 divisors (see below), whose sum is σ = 153386860242. Its totient is φ = 68453640000.

The previous prime is 102680460059. The next prime is 102680460101. The reversal of 102680460081 is 180064086201.

It can be written as a sum of positive squares in only one way, i.e., 98099877681 + 4580582400 = 313209^2 + 67680^2 .

It is not a de Polignac number, because 102680460081 - 25 = 102680460049 is a prime.

It is a super-2 number, since 2×1026804600812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102680460881) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 633829920 + ... + 633830081.

Almost surely, 2102680460081 is an apocalyptic number.

It is an amenable number.

102680460081 is a deficient number, since it is larger than the sum of its proper divisors (50706400161).

102680460081 is an equidigital number, since it uses as much as digits as its factorization.

102680460081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267660013 (or 1267660004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 102680460081 in words is "one hundred two billion, six hundred eighty million, four hundred sixty thousand, eighty-one".

Divisors: 1 3 9 27 81 1267660001 3802980003 11408940009 34226820027 102680460081