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206130563430 = 235112382332999
BaseRepresentation
bin1011111111111001010…
…1101100100101100110
3201201001121000120112020
42333332111230211212
511334123411012210
6234410045204010
720615051610531
oct2777625544546
9651047016466
10206130563430
117a468369250
1233b48860606
131659046ccbc
149d96399a18
15556679c770
hex2ffe56c966

206130563430 has 128 divisors (see below), whose sum is σ = 563853312000. Its totient is φ = 47738866560.

The previous prime is 206130563411. The next prime is 206130563449. The reversal of 206130563430 is 34365031602.

It is an interprime number because it is at equal distance from previous prime (206130563411) and next prime (206130563449).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206130563391 and 206130563400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6230071 + ... + 6263069.

It is an arithmetic number, because the mean of its divisors is an integer number (4405104000).

Almost surely, 2206130563430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206130563430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281926656000).

206130563430 is an abundant number, since it is smaller than the sum of its proper divisors (357722748570).

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

206130563430 is a wasteful number, since it uses less digits than its factorization.

206130563430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33866.

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 206130563430 in words is "two hundred six billion, one hundred thirty million, five hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 823 1265 1518 1646 2469 2530 3795 4115 4938 7590 8230 9053 12345 18106 18929 24690 27159 32999 37858 45265 54318 56787 65998 90530 94645 98997 113574 135795 164995 189290 197994 208219 271590 283935 329990 362989 416438 494985 567870 624657 725978 758977 989970 1041095 1088967 1249314 1517954 1814945 2082190 2177934 2276931 3123285 3629890 3794885 4553862 5444835 6246570 7589770 8348747 10889670 11384655 16697494 22769310 25046241 27158177 41743735 50092482 54316354 81474531 83487470 125231205 135790885 162949062 250462410 271581770 298739947 407372655 597479894 624638071 814745310 896219841 1249276142 1493699735 1792439682 1873914213 2987399470 3123190355 3747828426 4481099205 6246380710 6871018781 8962198410 9369571065 13742037562 18739142130 20613056343 34355093905 41226112686 68710187810 103065281715 206130563430