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130106200 = 23527199467
BaseRepresentation
bin1111100000101…
…00001101011000
3100001211002011011
413300110031120
5231301344300
620524343304
73136612240
oct760241530
9301732134
10130106200
1167494794
12376a4b34
1320c54c23
14133cab20
15b64eeba
hex7c14358

130106200 has 96 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 44288640.

The previous prime is 130106189. The next prime is 130106203. The reversal of 130106200 is 2601031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130106203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278367 + ... + 278833.

It is an arithmetic number, because the mean of its divisors is an integer number (3627000).

Almost surely, 2130106200 is an apocalyptic number.

130106200 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 130106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

130106200 is an abundant number, since it is smaller than the sum of its proper divisors (218085800).

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

130106200 is a wasteful number, since it uses less digits than its factorization.

130106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130106200 is about 11406.4104783231. The cubic root of 130106200 is about 506.7176099131.

Adding to 130106200 its reverse (2601031), we get a palindrome (132707231).

The spelling of 130106200 in words is "one hundred thirty million, one hundred six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 199 200 280 350 398 467 700 796 934 995 1393 1400 1592 1868 1990 2335 2786 3269 3736 3980 4670 4975 5572 6538 6965 7960 9340 9950 11144 11675 13076 13930 16345 18680 19900 23350 26152 27860 32690 34825 39800 46700 55720 65380 69650 81725 92933 93400 130760 139300 163450 185866 278600 326900 371732 464665 650531 653800 743464 929330 1301062 1858660 2323325 2602124 3252655 3717320 4646650 5204248 6505310 9293300 13010620 16263275 18586600 26021240 32526550 65053100 130106200