Search a number
-
+
11310003122220 = 223251137154381697
BaseRepresentation
bin1010010010010101000010…
…1101111111000000101100
31111001020002120012222001200
42210211100231333000230
52440300341244402340
640015424350205500
72245056264223425
oct244452055770054
944036076188050
1011310003122220
1136705aaa02a70
121327b551b3890
136406b479429a
142b159b01064c
151492ec141330
hexa4950b7f02c

11310003122220 has 144 divisors (see below), whose sum is σ = 38437337641248. Its totient is φ = 2667715706880.

The previous prime is 11310003122191. The next prime is 11310003122221. The reversal of 11310003122220 is 2222130001311.

11310003122220 is a `hidden beast` number, since 1 + 1 + 310 + 0 + 0 + 312 + 22 + 20 = 666.

It is a super-2 number, since 2×113100031222202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11310003122193 and 11310003122202.

It is not an unprimeable number, because it can be changed into a prime (11310003122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77117589 + ... + 77264108.

It is an arithmetic number, because the mean of its divisors is an integer number (266925955842).

Almost surely, 211310003122220 is an apocalyptic number.

11310003122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310003122220 is an abundant number, since it is smaller than the sum of its proper divisors (27127334519028).

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

11310003122220 is a wasteful number, since it uses less digits than its factorization.

11310003122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154381760 (or 154381755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310003122220 its reverse (2222130001311), we get a palindrome (13532133123531).

The spelling of 11310003122220 in words is "eleven trillion, three hundred ten billion, three million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 154381697 308763394 463145091 617526788 771908485 926290182 1389435273 1543816970 1698198667 1852580364 2315725455 2778870546 3087633940 3396397334 4631450910 5094596001 5557741092 5712122789 6792794668 6947176365 8490993335 9262901820 10189192002 11424245578 13894352730 15283788003 16981986670 17136368367 20378384004 22848491156 25472980005 27788705460 28560613945 30567576006 33963973340 34272736734 50945960010 51409105101 57121227890 61135152012 62833350679 68545473468 76418940015 85681841835 101891920020 102818210202 114242455780 125666701358 152837880030 171363683670 188500052037 205636420404 251333402716 257045525505 305675760060 314166753395 342727367340 377000104074 514091051010 565500156111 628333506790 754000208148 942500260185 1028182102020 1131000312222 1256667013580 1885000520370 2262000624444 2827500780555 3770001040740 5655001561110 11310003122220