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103135000 = 235420627
BaseRepresentation
bin1100010010110…
…11011100011000
321012001210121211
412021123130120
5202400310000
614122312504
72361430063
oct611333430
9235053554
10103135000
1153242941
122a658734
13184a0737
14d9a98da
1590c37ba
hex625b718

103135000 has 40 divisors (see below), whose sum is σ = 241657020. Its totient is φ = 41252000.

The previous prime is 103134989. The next prime is 103135001. The reversal of 103135000 is 531301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103135001) 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 9 ways as a sum of consecutive naturals, for example, 5314 + ... + 15313.

Almost surely, 2103135000 is an apocalyptic number.

103135000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103135000 is an abundant number, since it is smaller than the sum of its proper divisors (138522020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103135000 is an equidigital number, since it uses as much as digits as its factorization.

103135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653 (or 20634 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 103135000 is about 10155.5403598233. The cubic root of 103135000 is about 468.9595211494.

Adding to 103135000 its reverse (531301), we get a palindrome (103666301).

The spelling of 103135000 in words is "one hundred three million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 20627 41254 82508 103135 165016 206270 412540 515675 825080 1031350 2062700 2578375 4125400 5156750 10313500 12891875 20627000 25783750 51567500 103135000