Search a number
-
+
205142613023430 = 2325171011327526131
BaseRepresentation
bin101110101001001101111100…
…100100111101101011000110
3222220100102221102022102000100
4232221031330210331223012
5203342024032413222210
62004145114310024530
761132031121631245
oct5651157444755306
9886312842272010
10205142613023430
115a401547aa4145
121b01201a048146
138a60b33397b34
143892d53a6a95c
1518ab36bad65c0
hexba937c93dac6

205142613023430 has 96 divisors (see below), whose sum is σ = 570337086934368. Its totient is φ = 50977003392000.

The previous prime is 205142613023417. The next prime is 205142613023473. The reversal of 205142613023430 is 34320316241502.

205142613023430 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 4 + 2 + 6 + 1 + 302 + 343 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663608536 + ... + 663917595.

It is an arithmetic number, because the mean of its divisors is an integer number (5941011322233).

Almost surely, 2205142613023430 is an apocalyptic number.

205142613023430 is an abundant number, since it is smaller than the sum of its proper divisors (365194473910938).

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

205142613023430 is a wasteful number, since it uses less digits than its factorization.

205142613023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327526262 (or 1327526259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 205142613023430 its reverse (34320316241502), we get a palindrome (239462929264932).

The spelling of 205142613023430 in words is "two hundred five trillion, one hundred forty-two billion, six hundred thirteen million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 101 102 153 170 202 255 303 306 505 510 606 765 909 1010 1515 1530 1717 1818 3030 3434 4545 5151 8585 9090 10302 15453 17170 25755 30906 51510 77265 154530 1327526131 2655052262 3982578393 6637630655 7965156786 11947735179 13275261310 19912891965 22567944227 23895470358 39825783930 45135888454 59738675895 67703832681 112839721135 119477351790 134080139231 135407665362 203111498043 225679442270 268160278462 338519163405 402240417693 406222996086 670400696155 677038326810 804480835386 1015557490215 1206721253079 1340801392310 2011202088465 2031114980430 2279362366927 2413442506158 4022404176930 4558724733854 6033606265395 6838087100781 11396811834635 12067212530790 13676174201562 20514261302343 22793623669270 34190435503905 41028522604686 68380871007810 102571306511715 205142613023430