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117831025 = 521321672
BaseRepresentation
bin1110000010111…
…11010101110001
322012201102210001
413001133111301
5220131043100
615405310001
72630355454
oct701372561
9265642701
10117831025
1160570214
1233565301
131b547900
141191349b
15a527d6a
hex705f571

117831025 has 27 divisors (see below), whose sum is σ = 159167361. Its totient is φ = 86492640.

The previous prime is 117831017. The next prime is 117831037. The reversal of 117831025 is 520138711.

The square root of 117831025 is 10855.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30371121 + 87459904 = 5511^2 + 9352^2 .

It is not a de Polignac number, because 117831025 - 23 = 117831017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117830984 and 117831002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 705492 + ... + 705658.

Almost surely, 2117831025 is an apocalyptic number.

117831025 is the 10855-th square number.

117831025 is the 5428-th centered octagonal number.

It is an amenable number.

117831025 is a deficient number, since it is larger than the sum of its proper divisors (41336336).

117831025 is an equidigital number, since it uses as much as digits as its factorization.

117831025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The cubic root of 117831025 is about 490.2525769888.

Adding to 117831025 its reverse (520138711), we get a palindrome (637969736).

The spelling of 117831025 in words is "one hundred seventeen million, eight hundred thirty-one thousand, twenty-five".

Divisors: 1 5 13 25 65 167 169 325 835 845 2171 4175 4225 10855 27889 28223 54275 139445 141115 362557 697225 705575 1812785 4713241 9063925 23566205 117831025