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101925245925 = 3252453001093
BaseRepresentation
bin101111011101100110…
…1111101001111100101
3100202002100022222011100
41132323031331033211
53132220330332200
6114453535430313
710235542203246
oct1367315751745
9322070288140
10101925245925
113a254164938
1217906685399
1397c4642409
144d0ca1accd
1529b8282d00
hex17bb37d3e5

101925245925 has 18 divisors (see below), whose sum is σ = 182559440882. Its totient is φ = 54360131040.

The previous prime is 101925245923. The next prime is 101925245941. The reversal of 101925245925 is 529542529101.

101925245925 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 2 + 52 + 4 + 592 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 560695041 + 101364550884 = 23679^2 + 318378^2 .

It is not a de Polignac number, because 101925245925 - 21 = 101925245923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101925245923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226500322 + ... + 226500771.

Almost surely, 2101925245925 is an apocalyptic number.

101925245925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101925245925 is a deficient number, since it is larger than the sum of its proper divisors (80634194957).

101925245925 is a wasteful number, since it uses less digits than its factorization.

101925245925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453001109 (or 453001101 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 101925245925 in words is "one hundred one billion, nine hundred twenty-five million, two hundred forty-five thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 453001093 1359003279 2265005465 4077009837 6795016395 11325027325 20385049185 33975081975 101925245925