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1144410221100 = 22352171911810219
BaseRepresentation
bin10000101001110100001…
…010100010101000101100
311001101220220201202020110
4100221310022202220230
5122222223004033400
62233422414420020
7145452360243546
oct20516412425054
94041826652213
101144410221100
1140138380a463
12165964801610
1383bc075bc03
143d565690696
151eb7e73ee50
hex10a742a2a2c

1144410221100 has 144 divisors (see below), whose sum is σ = 3690457545600. Its totient is φ = 272107422720.

The previous prime is 1144410221051. The next prime is 1144410221111. The reversal of 1144410221100 is 11220144411.

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, 5808210 + ... + 6002009.

It is an arithmetic number, because the mean of its divisors is an integer number (25628177400).

Almost surely, 21144410221100 is an apocalyptic number.

1144410221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144410221100 is an abundant number, since it is smaller than the sum of its proper divisors (2546047324500).

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

1144410221100 is a wasteful number, since it uses less digits than its factorization.

1144410221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810272 (or 11810265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1144410221100 its reverse (11220144411), we get a palindrome (1155630365511).

The spelling of 1144410221100 in words is "one trillion, one hundred forty-four billion, four hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 96900 11810219 23620438 35430657 47240876 59051095 70861314 118102190 141722628 177153285 200773723 224394161 236204380 295255475 354306570 401547446 448788322 590510950 602321169 673182483 708613140 803094892 885766425 897576644 1003868615 1121970805 1181021900 1204642338 1346364966 1771532850 2007737230 2243941610 2409284676 2692729932 3011605845 3365912415 3543065700 3814700737 4015474460 4487883220 5019343075 5609854025 6023211690 6731824830 7629401474 10038686150 11219708050 11444102211 12046423380 13463649660 15058029225 15258802948 16829562075 19073503685 20077372300 22439416100 22888204422 30116058450 33659124150 38147007370 45776408844 57220511055 60232116900 67318248300 76294014740 95367518425 114441022110 190735036850 228882044220 286102555275 381470073700 572205110550 1144410221100