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101265536 = 27791137
BaseRepresentation
bin1100000100100…
…11000010000000
321001112211012102
412002103002000
5201410444121
614014245532
72336512541
oct602230200
9231484172
10101265536
1152186329
1229ab68a8
1317c97848
14d6404c8
158d5490b
hex6093080

101265536 has 16 divisors (see below), whose sum is σ = 201740190. Its totient is φ = 50632704.

The previous prime is 101265523. The next prime is 101265539. The reversal of 101265536 is 635562101.

It can be written as a sum of positive squares in only one way, i.e., 65934400 + 35331136 = 8120^2 + 5944^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 101265499 and 101265508.

It is not an unprimeable number, because it can be changed into a prime (101265539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 395441 + ... + 395696.

Almost surely, 2101265536 is an apocalyptic number.

101265536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101265536 is a deficient number, since it is larger than the sum of its proper divisors (100474654).

101265536 is an frugal number, since it uses more digits than its factorization.

101265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791151 (or 791139 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 101265536 is about 10063.0778591840. The cubic root of 101265536 is about 466.1087136686.

The spelling of 101265536 in words is "one hundred one million, two hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 791137 1582274 3164548 6329096 12658192 25316384 50632768 101265536