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102130000 = 245471459
BaseRepresentation
bin1100001011001…
…10000101010000
321010011202000121
412011212011100
5202121130000
614045000024
72350043050
oct605460520
9233152017
10102130000
1152716865
122a253014
131820b16b
14d7c7560
158e75b1a
hex6166150

102130000 has 100 divisors (see below), whose sum is σ = 282784480. Its totient is φ = 34992000.

The previous prime is 102129991. The next prime is 102130037. The reversal of 102130000 is 31201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69271 + ... + 70729.

Almost surely, 2102130000 is an apocalyptic number.

102130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141392240).

102130000 is an abundant number, since it is smaller than the sum of its proper divisors (180654480).

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

102130000 is an equidigital number, since it uses as much as digits as its factorization.

102130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 102130000 is about 10105.9388480240. The cubic root of 102130000 is about 467.4312861918.

Adding to 102130000 its reverse (31201), we get a palindrome (102161201).

The spelling of 102130000 in words is "one hundred two million, one hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1459 1750 2000 2500 2800 2918 3500 4375 5000 5836 7000 7295 8750 10000 10213 11672 14000 14590 17500 20426 23344 29180 35000 36475 40852 51065 58360 70000 72950 81704 102130 116720 145900 163408 182375 204260 255325 291800 364750 408520 510650 583600 729500 817040 911875 1021300 1276625 1459000 1823750 2042600 2553250 2918000 3647500 4085200 5106500 6383125 7295000 10213000 12766250 14590000 20426000 25532500 51065000 102130000