Search a number
-
+
105502126730 = 257111329363437
BaseRepresentation
bin110001001000001101…
…0101011001010001010
3101002022121212100012012
41202100122223022022
53212032021023410
6120244512415522
710423304165210
oct1422032531212
9332277770165
10105502126730
114081a222380
12185445475a2
139c446b9430
14516baaccb0
152b272c9605
hex18906ab28a

105502126730 has 128 divisors (see below), whose sum is σ = 263768762880. Its totient is φ = 29307479040.

The previous prime is 105502126711. The next prime is 105502126771. The reversal of 105502126730 is 37621205501.

105502126730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055021267302 (a number of 23 digits) contains 22 as substring.

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, 108572 + ... + 472008.

It is an arithmetic number, because the mean of its divisors is an integer number (2060693460).

Almost surely, 2105502126730 is an apocalyptic number.

105502126730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105502126730 is an abundant number, since it is smaller than the sum of its proper divisors (158266636150).

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

105502126730 is a wasteful number, since it uses less digits than its factorization.

105502126730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363504.

The product of its (nonzero) digits is 12600, while the sum is 32.

It can be divided in two parts, 105502 and 126730, that added together give a palindrome (232232).

The spelling of 105502126730 in words is "one hundred five billion, five hundred two million, one hundred twenty-six thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 29 35 55 58 65 70 77 91 110 130 143 145 154 182 203 286 290 319 377 385 406 455 638 715 754 770 910 1001 1015 1430 1595 1885 2002 2030 2233 2639 3190 3770 4147 4466 5005 5278 8294 10010 11165 13195 20735 22330 26390 29029 41470 58058 145145 290290 363437 726874 1817185 2544059 3634370 3997807 4724681 5088118 7995614 9449362 10539673 12720295 19989035 21079346 23623405 25440590 27984649 33072767 39978070 47246810 51971491 52698365 55969298 66145534 73777711 103942982 105396730 115936403 137015749 139923245 147555422 165363835 231872806 259857455 274031498 279846490 330727670 363800437 368888555 519714910 579682015 685078745 727600874 737777110 811554821 959110243 1159364030 1370157490 1507173239 1623109642 1819002185 1918220486 3014346478 3638004370 4057774105 4795551215 7535866195 8115548210 9591102430 10550212673 15071732390 21100425346 52751063365 105502126730