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101382225 = 35274563
BaseRepresentation
bin1100000101011…
…11100001010001
321001202202021020
412002233201101
5201423212400
614020550053
72340510000
oct602574121
9231682236
10101382225
1152255a6a
1229b52329
13180089a9
14d670c37
158d792a0
hex60af851

101382225 has 60 divisors (see below), whose sum is σ = 195890736. Its totient is φ = 46263840.

The previous prime is 101382223. The next prime is 101382241. The reversal of 101382225 is 522283101.

It is not a de Polignac number, because 101382225 - 21 = 101382223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101382195 and 101382204.

It is not an unprimeable number, because it can be changed into a prime (101382223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 179794 + ... + 180356.

Almost surely, 2101382225 is an apocalyptic number.

101382225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101382225 is a deficient number, since it is larger than the sum of its proper divisors (94508511).

101382225 is an frugal number, since it uses more digits than its factorization.

101382225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101382225 is about 10068.8740681369. The cubic root of 101382225 is about 466.2876784114.

It can be divided in two parts, 1013 and 82225, that added together give a palindrome (83238).

The spelling of 101382225 in words is "one hundred one million, three hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 343 525 563 735 1029 1225 1689 1715 2401 2815 3675 3941 5145 7203 8445 8575 11823 12005 14075 19705 25725 27587 36015 42225 59115 60025 82761 98525 137935 180075 193109 295575 413805 579327 689675 965545 1351763 2069025 2896635 4055289 4827725 6758815 14483175 20276445 33794075 101382225