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20131125 = 35377669
BaseRepresentation
bin100110011001…
…0110100110101
31101212202201020
41030302310311
520123144000
61555251353
7333053220
oct114626465
941782636
1020131125
11103aa8a3
1268a9b59
13422b011
1429605b7
151b79ba0
hex1332d35

20131125 has 32 divisors (see below), whose sum is σ = 38288640. Its totient is φ = 9201600.

The previous prime is 20131117. The next prime is 20131129. The reversal of 20131125 is 52113102.

It is not a de Polignac number, because 20131125 - 23 = 20131117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1210 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (1196520).

Almost surely, 220131125 is an apocalyptic number.

20131125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20131125 is a deficient number, since it is larger than the sum of its proper divisors (18157515).

20131125 is an equidigital number, since it uses as much as digits as its factorization.

20131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 20131125 is about 4486.7722251079. The cubic root of 20131125 is about 272.0336832926.

Adding to 20131125 its reverse (52113102), we get a palindrome (72244227).

The spelling of 20131125 in words is "twenty million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 7669 23007 38345 53683 115035 161049 191725 268415 575175 805245 958625 1342075 2875875 4026225 6710375 20131125