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1001001011220 = 2232571423558289
BaseRepresentation
bin11101001000100000100…
…11110100100000010100
310112200202111000001201200
432210100103310200110
5112400022224324340
62043504205352500
7132214511131050
oct16442023644024
93480674001650
101001001011220
11356581a7a4a1
12142001268730
137351779b082
143663d378c60
151b089597330
hexe9104f4814

1001001011220 has 144 divisors (see below), whose sum is σ = 3472581665280. Its totient is φ = 228639034368.

The previous prime is 1001001011137. The next prime is 1001001011239. The reversal of 1001001011220 is 221101001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1513836 + ... + 2072124.

Almost surely, 21001001011220 is an apocalyptic number.

1001001011220 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 1001001011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736290832640).

1001001011220 is an abundant number, since it is smaller than the sum of its proper divisors (2471580654060).

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

1001001011220 is a wasteful number, since it uses less digits than its factorization.

1001001011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559734 (or 559729 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001001011220 its reverse (221101001001), we get a palindrome (1222102012221).

The spelling of 1001001011220 in words is "one trillion, one billion, one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1423 2846 4269 5692 7115 8538 9961 12807 14230 17076 19922 21345 25614 28460 29883 39844 42690 49805 51228 59766 64035 85380 89649 99610 119532 128070 149415 179298 199220 256140 298830 358596 448245 558289 597660 896490 1116578 1674867 1792980 2233156 2791445 3349734 3908023 5024601 5582890 6699468 7816046 8374335 10049202 11165780 11724069 15632092 16748670 19540115 20098404 23448138 25123005 33497340 35172207 39080230 46896276 50246010 58620345 70344414 78160460 100492020 117240690 140688828 175861035 234481380 351722070 703444140 794445247 1588890494 2383335741 3177780988 3972226235 4766671482 5561116729 7150007223 7944452470 9533342964 11122233458 11916678705 14300014446 15888904940 16683350187 22244466916 23833357410 27805583645 28600028892 33366700374 35750036115 47666714820 50050050561 55611167290 66733400748 71500072230 83416750935 100100101122 111222334580 143000144460 166833501870 200200202244 250250252805 333667003740 500500505610 1001001011220