Search a number
-
+
220200102221010 = 235235919927180869
BaseRepresentation
bin110010000100010101010100…
…110111110101010011010010
31001212122220221201201121120220
4302010111110313311103102
5212330224302132033020
62100154310324413510
764244634544216032
oct6204252467652322
91055586851647526
10220200102221010
116418738010a75a
1220844308847296
1395b3a1bb02492
143c53a557718c2
151a6cd9b33c240
hexc84554df54d2

220200102221010 has 128 divisors (see below), whose sum is σ = 563622520320000. Its totient is φ = 54937535507712.

The previous prime is 220200102220963. The next prime is 220200102221063. The reversal of 220200102221010 is 10122201002022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5489145 + ... + 21691724.

It is an arithmetic number, because the mean of its divisors is an integer number (4403300940000).

Almost surely, 2220200102221010 is an apocalyptic number.

220200102221010 is an abundant number, since it is smaller than the sum of its proper divisors (343422418098990).

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

220200102221010 is a wasteful number, since it uses less digits than its factorization.

220200102221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27181160.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220200102221010 its reverse (10122201002022), we get a palindrome (230322303223032).

The spelling of 220200102221010 in words is "two hundred twenty trillion, two hundred billion, one hundred two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 199 230 295 345 354 398 590 597 690 885 995 1194 1357 1770 1990 2714 2985 4071 4577 5970 6785 8142 9154 11741 13570 13731 20355 22885 23482 27462 35223 40710 45770 58705 68655 70446 117410 137310 176115 270043 352230 540086 810129 1350215 1620258 2700430 4050645 8101290 27180869 54361738 81542607 135904345 163085214 271808690 407713035 625159987 815426070 1250319974 1603671271 1875479961 3125799935 3207342542 3750959922 4811013813 5408992931 6251599870 8018356355 9377399805 9622027626 10817985862 16036712710 16226978793 18754799610 24055069065 27044964655 32453957586 36884439233 48110138130 54089929310 73768878466 81134893965 110653317699 124406837413 162269787930 184422196165 221306635398 248813674826 319130582929 368844392330 373220512239 553266588495 622034187065 638261165858 746441024478 957391748787 1106533176990 1244068374130 1595652914645 1866102561195 1914783497574 3191305829290 3732205122390 4786958743935 7340003407367 9573917487870 14680006814734 22020010222101 36700017036835 44040020444202 73400034073670 110100051110505 220200102221010