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101419925 = 5228114437
BaseRepresentation
bin1100000101110…
…00101110010101
321001211122222112
412002320232111
5201430414200
614021440405
72341024625
oct602705625
9231748875
10101419925
1152281322
1229b70105
131801cbb9
14d680885
158d85535
hex60b8b95

101419925 has 12 divisors (see below), whose sum is σ = 126216996. Its totient is φ = 80841600.

The previous prime is 101419897. The next prime is 101419933. The reversal of 101419925 is 529914101.

It can be written as a sum of positive squares in 6 ways, for example, as 276676 + 101143249 = 526^2 + 10057^2 .

It is not a de Polignac number, because 101419925 - 210 = 101418901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101419891 and 101419900.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 194 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (10518083).

Almost surely, 2101419925 is an apocalyptic number.

It is an amenable number.

101419925 is a deficient number, since it is larger than the sum of its proper divisors (24797071).

101419925 is a wasteful number, since it uses less digits than its factorization.

101419925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 101419925 is about 10070.7460001730. The cubic root of 101419925 is about 466.3454691695.

The spelling of 101419925 in words is "one hundred one million, four hundred nineteen thousand, nine hundred twenty-five".

Divisors: 1 5 25 281 1405 7025 14437 72185 360925 4056797 20283985 101419925