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201112003144 = 231317173673977
BaseRepresentation
bin1011101101001100110…
…1011010001001001000
3201020002211201022001001
42323103031122021020
511243334133100034
6232220052104344
720346512551453
oct2732315321110
9636084638031
10201112003144
1178322534668
1232b880050b4
1315c708133c0
149a3ba6649a
155370dcba14
hex2ed335a248

201112003144 has 128 divisors (see below), whose sum is σ = 433550607840. Its totient is φ = 86638067712.

The previous prime is 201112003019. The next prime is 201112003193. The reversal of 201112003144 is 441300211102.

It can be written as a sum of positive squares in 16 ways, for example, as 95722172100 + 105389831044 = 309390^2 + 324638^2 .

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, 205845984 + ... + 205846960.

Almost surely, 2201112003144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216775303920).

201112003144 is an abundant number, since it is smaller than the sum of its proper divisors (232438604696).

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

201112003144 is a wasteful number, since it uses less digits than its factorization.

201112003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 201112003144 its reverse (441300211102), we get a palindrome (642412214246).

The spelling of 201112003144 in words is "two hundred one billion, one hundred twelve million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 173 221 346 442 673 692 884 977 1346 1384 1768 1954 2249 2692 2941 3908 4498 5384 5882 7816 8749 8996 11441 11764 12701 16609 17498 17992 22882 23528 25402 33218 34996 38233 45764 50804 66436 69992 76466 91528 101608 116429 132872 148733 152932 169021 215917 232858 297466 305864 338042 431834 465716 594932 657521 676084 863668 931432 1189864 1315042 1352168 1513577 1727336 1979293 2197273 2630084 2873357 3027154 3958586 4394546 5260168 5746714 6054308 7917172 8547773 8789092 11177857 11493428 12108616 15834344 17095546 17578184 22355714 22986856 25730809 34191092 37353641 44711428 51461618 68382184 74707282 89422856 102923236 113751133 145312141 149414564 205846472 227502266 290624282 298829128 455004532 581248564 910009064 1162497128 1478764729 1933769261 2957529458 3867538522 5915058916 7735077044 11830117832 15470154088 25139000393 50278000786 100556001572 201112003144