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2114125 = 53131301
BaseRepresentation
bin1000000100001001001101
310222102000221
420010021031
51020123000
6113151341
723653426
oct10041115
93872027
102114125
111214412
1285b551
13590380
143d064d
152bb61a
hex20424d

2114125 has 16 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 1560000.

The previous prime is 2114113. The next prime is 2114141. The reversal of 2114125 is 5214112.

It can be written as a sum of positive squares in 8 ways, for example, as 1798281 + 315844 = 1341^2 + 562^2 .

It is not a de Polignac number, because 2114125 - 213 = 2105933 is a prime.

2114125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2114099 and 2114108.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 2275.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

22114125 is an apocalyptic number.

2114125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2114125 is a deficient number, since it is larger than the sum of its proper divisors (729443).

2114125 is a wasteful number, since it uses less digits than its factorization.

2114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its digits is 80, while the sum is 16.

The square root of 2114125 is about 1454.0030949073. The cubic root of 2114125 is about 128.3443891452.

Adding to 2114125 its reverse (5214112), we get a palindrome (7328237).

The spelling of 2114125 in words is "two million, one hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1301 1625 6505 16913 32525 84565 162625 422825 2114125