Search a number
-
+
11021012222010 = 23573591072313633
BaseRepresentation
bin1010000001100000011110…
…0001001100000000111010
31110000121011021212011010020
42200120013201030000322
52421032013112101020
635234552204231310
72215145646133650
oct240300741140072
943017137764106
1011021012222010
113569a9209a34a
12129bb4283b536
1361c37a727c0b
142a15c406add0
15141a3621cc40
hexa060784c03a

11021012222010 has 128 divisors (see below), whose sum is σ = 30318316277760. Its totient is φ = 2511653031936.

The previous prime is 11021012221951. The next prime is 11021012222029. The reversal of 11021012222010 is 1022221012011.

It is a super-3 number, since 3×110210122220103 (a number of 40 digits) contains 333 as substring.

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

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, 808400154 + ... + 808413786.

It is an arithmetic number, because the mean of its divisors is an integer number (236861845920).

Almost surely, 211021012222010 is an apocalyptic number.

11021012222010 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 11021012222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159158138880).

11021012222010 is an abundant number, since it is smaller than the sum of its proper divisors (19297304055750).

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

11021012222010 is a wasteful number, since it uses less digits than its factorization.

11021012222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24732.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11021012222010 its reverse (1022221012011), we get a palindrome (12043233234021).

The spelling of 11021012222010 in words is "eleven trillion, twenty-one billion, twelve million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 359 718 1077 1795 2154 2513 3590 5026 5385 7539 10723 10770 12565 13633 15078 21446 25130 27266 32169 37695 40899 53615 64338 68165 75061 75390 81798 95431 107230 136330 150122 160845 190862 204495 225183 286293 321690 375305 408990 450366 477155 572586 750610 954310 1125915 1431465 2251830 2862930 3849557 4894247 7699114 9788494 11548671 14682741 19247785 23097342 24471235 26946899 29365482 34259729 38495570 48942470 53893798 57743355 68519458 73413705 80840697 102779187 115486710 134734495 146186659 146827410 161681394 171298645 205558374 269468990 292373318 342597290 404203485 438559977 513895935 730933295 808406970 877119954 1023306613 1027791870 1461866590 2046613226 2192799885 3069919839 4385599770 5116533065 6139839678 10233066130 15349599195 30699198390 52481010581 104962021162 157443031743 262405052905 314886063486 367367074067 524810105810 734734148134 787215158715 1102101222201 1574430317430 1836835370335 2204202444402 3673670740670 5510506111005 11021012222010