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11141204003202 = 23713233142361543
BaseRepresentation
bin1010001000100000001110…
…0000011100100110000010
31110110002101122220020221210
42202020003200130212002
52430014141211100302
635410110511230550
72226632264333130
oct242100340344602
943402348806853
1011141204003202
113605a5a233519
1212bb2a6818456
1362a7c357c680
142a7346a56750
15144c1ce5766c
hexa220381c982

11141204003202 has 128 divisors (see below), whose sum is σ = 27562006757376. Its totient is φ = 2923625083392.

The previous prime is 11141204003179. The next prime is 11141204003207. The reversal of 11141204003202 is 20230040214111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11141204003207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181000443 + ... + 181061985.

It is an arithmetic number, because the mean of its divisors is an integer number (215328177792).

Almost surely, 211141204003202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141204003202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781003378688).

11141204003202 is an abundant number, since it is smaller than the sum of its proper divisors (16420802754174).

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

11141204003202 is a wasteful number, since it uses less digits than its factorization.

11141204003202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63224.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11141204003202 its reverse (20230040214111), we get a palindrome (31371244217313).

The spelling of 11141204003202 in words is "eleven trillion, one hundred forty-one billion, two hundred four million, three thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 233 273 466 546 699 1398 1423 1631 2846 3029 3262 4269 4893 6058 8538 9087 9786 9961 18174 18499 19922 21203 29883 36998 42406 55497 59766 61543 63609 110994 123086 127218 129493 184629 258986 331559 369258 388479 430801 663118 776958 800059 861602 994677 1292403 1600118 1989354 2320913 2400177 2584806 4310267 4641826 4800354 5600413 6962739 8620534 11200826 12930801 13925478 14339519 16801239 25861602 28679038 30171869 33602478 43018557 60343738 86037114 87575689 90515607 100376633 175151378 181031214 186413747 200753266 262727067 301129899 372827494 525454134 559241241 602259798 613029823 1118482482 1138483957 1226059646 1304896229 1839089469 2276967914 2609792458 3415451871 3678178938 3914688687 6830903742 7829377374 7969387699 15938775398 20405135537 23908163097 40810271074 47816326194 61215406611 122430813222 142835948759 265266761981 285671897518 428507846277 530533523962 795800285943 857015692554 1591600571886 1856867333867 3713734667734 5570602001601 11141204003202