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15200354130 = 23513471376053
BaseRepresentation
bin11100010100000001…
…01111111101010010
31110020100010222212220
432022000233331102
5222112242313010
610552152201510
71045451610153
oct161200577522
943210128786
1015200354130
1164a0227045
122b42699296
1315831c85b0
14a42a9992a
155de6dd970
hex38a02ff52

15200354130 has 128 divisors (see below), whose sum is σ = 40422509568. Its totient is φ = 3634685952.

The previous prime is 15200354087. The next prime is 15200354137. The reversal of 15200354130 is 3145300251.

15200354130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15200354130.

It is not an unprimeable number, because it can be changed into a prime (15200354137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508184 + ... + 2514236.

It is an arithmetic number, because the mean of its divisors is an integer number (315800856).

Almost surely, 215200354130 is an apocalyptic number.

15200354130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15200354130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211254784).

15200354130 is an abundant number, since it is smaller than the sum of its proper divisors (25222155438).

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

15200354130 is a wasteful number, since it uses less digits than its factorization.

15200354130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 15200354130 its reverse (3145300251), we get a palindrome (18345654381).

The spelling of 15200354130 in words is "fifteen billion, two hundred million, three hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 137 141 195 235 274 282 390 411 470 611 685 705 822 1222 1370 1410 1781 1833 2055 3055 3562 3666 4110 5343 6053 6110 6439 8905 9165 10686 12106 12878 17810 18159 18330 19317 26715 30265 32195 36318 38634 53430 60530 64390 78689 83707 90795 96585 157378 167414 181590 193170 236067 251121 284491 393445 418535 472134 502242 568982 786890 829261 837070 853473 1180335 1255605 1422455 1658522 1706946 2360670 2487783 2511210 2844910 3698383 4146305 4267365 4975566 7396766 8292610 8534730 10780393 11095149 12438915 18491915 21560786 22190298 24877830 32341179 36983830 38975267 53901965 55475745 64682358 77950534 107803930 110951490 116925801 161705895 194876335 233851602 323411790 389752670 506678471 584629005 1013356942 1169258010 1520035413 2533392355 3040070826 5066784710 7600177065 15200354130