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1131200213220 = 2232571181616177
BaseRepresentation
bin10000011101100000110…
…010010111000011100100
311000010211021202211010100
4100131200302113003210
5122013144223310340
62223355522224100
7144504124110210
oct20354062270344
94003737684110
101131200213220
113a6815036a80
121632987b5030
1382896a0a8bc
143ca71099940
151e659b58830
hex10760c970e4

1131200213220 has 144 divisors (see below), whose sum is σ = 4277993586048. Its totient is φ = 235054586880.

The previous prime is 1131200213219. The next prime is 1131200213243. The reversal of 1131200213220 is 223120021311.

1131200213220 is a `hidden beast` number, since 1 + 1 + 31 + 200 + 213 + 220 = 666.

It is a super-2 number, since 2×11312002132202 (a number of 25 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 = 1131200213193 and 1131200213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40794229 + ... + 40821948.

It is an arithmetic number, because the mean of its divisors is an integer number (29708288792).

Almost surely, 21131200213220 is an apocalyptic number.

1131200213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131200213220 is an abundant number, since it is smaller than the sum of its proper divisors (3146793372828).

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

1131200213220 is a wasteful number, since it uses less digits than its factorization.

1131200213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81616210 (or 81616205 counting only the distinct ones).

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

Adding to 1131200213220 its reverse (223120021311), we get a palindrome (1354320234531).

The spelling of 1131200213220 in words is "one trillion, one hundred thirty-one billion, two hundred million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 81616177 163232354 244848531 326464708 408080885 489697062 571313239 734545593 816161770 897777947 979394124 1142626478 1224242655 1469091186 1632323540 1713939717 1795555894 2285252956 2448485310 2693333841 2856566195 2938182372 3427879434 3591111788 3672727965 4488889735 4896970620 5141819151 5386667682 5713132390 6284445629 6855758868 7345455930 8080001523 8569698585 8977779470 10283638302 10773335364 11426264780 12568891258 13466669205 14690911860 16160003046 17139397170 17955558940 18853336887 20567276604 25137782516 25709095755 26933338410 31422228145 32320006092 34278794340 37706673774 40400007615 51418191510 53866676820 56560010661 62844456290 75413347548 80800015230 94266684435 102836383020 113120021322 125688912580 161600030460 188533368870 226240042644 282800053305 377066737740 565600106610 1131200213220