Search a number
-
+
11120303212020 = 22325173798218541
BaseRepresentation
bin1010000111010010010110…
…1110010000010111110100
31110101002110001101001111200
42201310211232100113310
52424143340110241040
635352332522532500
72225262323463642
oct241644556202764
943332401331450
1011120303212020
1135a8104291782
1212b7233067130
13628842392202
142a6322c8a192
151443e80a5630
hexa1d25b905f4

11120303212020 has 144 divisors (see below), whose sum is σ = 36681089569488. Its totient is φ = 2715546193920.

The previous prime is 11120303212019. The next prime is 11120303212093. The reversal of 11120303212020 is 2021230302111.

11120303212020 is a `hidden beast` number, since 1 + 112 + 0 + 30 + 321 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 288871851024 + 10831431360996 = 537468^2 + 3291114^2 .

It is a super-2 number, since 2×111203032120202 (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 = 11120303211984 and 11120303212002.

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, 48996051 + ... + 49222490.

It is an arithmetic number, because the mean of its divisors is an integer number (254729788677).

Almost surely, 211120303212020 is an apocalyptic number.

11120303212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120303212020 is an abundant number, since it is smaller than the sum of its proper divisors (25560786357468).

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

11120303212020 is a wasteful number, since it uses less digits than its factorization.

11120303212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98218610 (or 98218605 counting only the distinct ones).

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

Adding to 11120303212020 its reverse (2021230302111), we get a palindrome (13141533514131).

The spelling of 11120303212020 in words is "eleven trillion, one hundred twenty billion, three hundred three million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 98218541 196437082 294655623 392874164 491092705 589311246 883966869 982185410 1178622492 1473278115 1669715197 1767933738 1964370820 2946556230 3339430394 3535867476 3634086017 4419834345 5009145591 5893112460 6678860788 7268172034 8348575985 8839668690 10018291182 10902258051 14536344068 15027436773 16697151970 17679337380 18170430085 20036582364 21804516102 25045727955 30054873546 32706774153 33394303940 36340860170 43609032204 50091455910 54511290255 60109747092 61779462289 65413548306 72681720340 75137183865 100182911820 109022580510 123558924578 130827096612 150274367730 163533870765 185338386867 218045161020 247117849156 300548735460 308897311445 327067741530 370676773734 556015160601 617794622890 654135483060 741353547468 926691934335 1112030321202 1235589245780 1853383868670 2224060642404 2780075803005 3706767737340 5560151606010 11120303212020