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1354112125 = 5337241193
BaseRepresentation
bin101000010110110…
…0001110001111101
310111101000000121221
41100231201301331
510233123042000
6342211153341
745361522522
oct12055416175
93441000557
101354112125
116353a7533
123195a5851
13187702ca2
14cbba9149
157dd2d61a
hex50b61c7d

1354112125 has 48 divisors (see below), whose sum is σ = 1788420816. Its totient is φ = 1022976000.

The previous prime is 1354112107. The next prime is 1354112129. The reversal of 1354112125 is 5212114531.

It can be written as a sum of positive squares in 24 ways, for example, as 1291036761 + 63075364 = 35931^2 + 7942^2 .

It is not a de Polignac number, because 1354112125 - 29 = 1354111613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1354112125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354112129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7016029 + ... + 7016221.

It is an arithmetic number, because the mean of its divisors is an integer number (37258767).

Almost surely, 21354112125 is an apocalyptic number.

It is an amenable number.

1354112125 is a deficient number, since it is larger than the sum of its proper divisors (434308691).

1354112125 is an equidigital number, since it uses as much as digits as its factorization.

1354112125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 276 counting only the distinct ones).

The product of its digits is 1200, while the sum is 25.

The square root of 1354112125 is about 36798.2625269183. The cubic root of 1354112125 is about 1106.3304749568.

Adding to 1354112125 its reverse (5212114531), we get a palindrome (6566226656).

The spelling of 1354112125 in words is "one billion, three hundred fifty-four million, one hundred twelve thousand, one hundred twenty-five".

Divisors: 1 5 25 37 41 125 185 193 205 925 965 1025 1369 1517 4625 4825 5125 6845 7141 7585 7913 24125 34225 35705 37925 39565 56129 171125 178525 189625 197825 264217 280645 292781 892625 989125 1321085 1403225 1463905 6605425 7016125 7319525 10832897 33027125 36597625 54164485 270822425 1354112125