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101347025 = 52132910753
BaseRepresentation
bin1100000101001…
…10111011010001
321001200221222112
412002212323101
5201421101100
614020115105
72340302243
oct602467321
9231627875
10101347025
115223157a
1229b35a95
1317cc5970
14d662093
158d6db35
hex60a6ed1

101347025 has 24 divisors (see below), whose sum is σ = 140017080. Its totient is φ = 72253440.

The previous prime is 101347019. The next prime is 101347061. The reversal of 101347025 is 520743101.

It can be written as a sum of positive squares in 12 ways, for example, as 18464209 + 82882816 = 4297^2 + 9104^2 .

It is not a de Polignac number, because 101347025 - 24 = 101347009 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4049 + ... + 14801.

It is an arithmetic number, because the mean of its divisors is an integer number (5834045).

Almost surely, 2101347025 is an apocalyptic number.

It is an amenable number.

101347025 is a deficient number, since it is larger than the sum of its proper divisors (38670055).

101347025 is a wasteful number, since it uses less digits than its factorization.

101347025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 101347025 is about 10067.1259553062. The cubic root of 101347025 is about 466.2337069970.

The spelling of 101347025 in words is "one hundred one million, three hundred forty-seven thousand, twenty-five".

Divisors: 1 5 13 25 29 65 145 325 377 725 1885 9425 10753 53765 139789 268825 311837 698945 1559185 3494725 4053881 7795925 20269405 101347025