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1043031101220 = 2232517439777521
BaseRepresentation
bin11110010110110010111…
…11111000111100100100
310200201020122000212011200
433023121133320330210
5114042111430214340
62115054544202500
7135233166035433
oct17133137707444
93621218025150
101043031101220
1137238a957169
1214a191009430
1377485301904
14386a93d511a
151c1e93d7330
hexf2d97f8f24

1043031101220 has 144 divisors (see below), whose sum is σ = 3350775577968. Its totient is φ = 261717442560.

The previous prime is 1043031101209. The next prime is 1043031101249. The reversal of 1043031101220 is 221011303401.

1043031101220 is a `hidden beast` number, since 1 + 0 + 430 + 3 + 1 + 10 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30061317924 + 1012969783296 = 173382^2 + 1006464^2 .

It is a super-2 number, since 2×10430311012202 (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 = 1043031101193 and 1043031101202.

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, 13416060 + ... + 13493580.

It is an arithmetic number, because the mean of its divisors is an integer number (23269274847).

Almost surely, 21043031101220 is an apocalyptic number.

1043031101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043031101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675387788984).

1043031101220 is an abundant number, since it is smaller than the sum of its proper divisors (2307744476748).

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

1043031101220 is a wasteful number, since it uses less digits than its factorization.

1043031101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81950 (or 81945 counting only the distinct ones).

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

Adding to 1043031101220 its reverse (221011303401), we get a palindrome (1264042404621).

The spelling of 1043031101220 in words is "one trillion, forty-three billion, thirty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4397 8794 13191 17588 21985 26382 39573 43970 52764 65955 74749 77521 79146 87940 131910 149498 155042 158292 197865 224247 232563 263820 298996 310084 373745 387605 395730 448494 465126 672741 697689 747490 775210 791460 896988 930252 1121235 1162815 1317857 1345482 1395378 1494980 1550420 2242470 2325630 2635714 2690964 2790756 3363705 3488445 3953571 4484940 4651260 5271428 6589285 6727410 6976890 7907142 11860713 13178570 13454820 13953780 15814284 19767855 23721426 26357140 39535710 47442852 59303565 79071420 118607130 237214260 340859837 681719674 1022579511 1363439348 1704299185 2045159022 3067738533 3408598370 4090318044 5112897555 5794617229 6135477066 6817196740 10225795110 11589234458 12270954132 15338692665 17383851687 20451590220 23178468916 28973086145 30677385330 34767703374 52151555061 57946172290 61354770660 69535406748 86919258435 104303110122 115892344580 173838516870 208606220244 260757775305 347677033740 521515550610 1043031101220