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1144303001220 = 2235296131072831
BaseRepresentation
bin10000101001101101110…
…001100001111010000100
311001101122102222102012210
4100221231301201322010
5122222013032014340
62233404024343420
7145446616011261
oct20515561417204
94041572872183
101144303001220
11401329237595
12165934914b70
1383ba448b0b2
143d555340268
151eb75111180
hex10a6dc61e84

1144303001220 has 96 divisors (see below), whose sum is σ = 3319942993920. Its totient is φ = 294144238080.

The previous prime is 1144303001197. The next prime is 1144303001287. The reversal of 1144303001220 is 221003034411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530205 + ... + 1603035.

It is an arithmetic number, because the mean of its divisors is an integer number (34582739520).

Almost surely, 21144303001220 is an apocalyptic number.

1144303001220 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 1144303001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659971496960).

1144303001220 is an abundant number, since it is smaller than the sum of its proper divisors (2175639992700).

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

1144303001220 is a wasteful number, since it uses less digits than its factorization.

1144303001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073485 (or 1073483 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1144303001220 its reverse (221003034411), we get a palindrome (1365306035631).

The spelling of 1144303001220 in words is "one trillion, one hundred forty-four billion, three hundred three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 613 870 1226 1740 1839 2452 3065 3678 6130 7356 9195 12260 17777 18390 35554 36780 53331 71108 88885 106662 177770 213324 266655 355540 533310 1066620 1072831 2145662 3218493 4291324 5364155 6436986 10728310 12873972 16092465 21456620 31112099 32184930 62224198 64369860 93336297 124448396 155560495 186672594 311120990 373345188 466681485 622241980 657645403 933362970 1315290806 1866725940 1972936209 2630581612 3288227015 3945872418 6576454030 7891744836 9864681045 13152908060 19071716687 19729362090 38143433374 39458724180 57215150061 76286866748 95358583435 114430300122 190717166870 228860600244 286075750305 381434333740 572151500610 1144303001220