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11200242432210 = 23513172373449029
BaseRepresentation
bin1010001011111100001001…
…1110001011100011010010
31110122201210011010012021120
42202333002132023203102
52432001044030312320
635453153105503110
72234122306602636
oct242770236134322
943581704105246
1011200242432210
113628aa5955007
12130a822641a96
13633241a36130
142aa147922dc6
1514652606a440
hexa2fc278b8d2

11200242432210 has 128 divisors (see below), whose sum is σ = 31983820807680. Its totient is φ = 2481989554176.

The previous prime is 11200242432173. The next prime is 11200242432217. The reversal of 11200242432210 is 1223424200211.

11200242432210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11200242432217) 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, 36572025 + ... + 36877004.

It is an arithmetic number, because the mean of its divisors is an integer number (249873600060).

Almost surely, 211200242432210 is an apocalyptic number.

11200242432210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11200242432210 is an abundant number, since it is smaller than the sum of its proper divisors (20783578375470).

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

11200242432210 is a wasteful number, since it uses less digits than its factorization.

11200242432210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73449092.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11200242432210 its reverse (1223424200211), we get a palindrome (12423666632421).

The spelling of 11200242432210 in words is "eleven trillion, two hundred billion, two hundred forty-two million, four hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 23 26 30 34 39 46 51 65 69 78 85 102 115 130 138 170 195 221 230 255 299 345 390 391 442 510 598 663 690 782 897 1105 1173 1326 1495 1794 1955 2210 2346 2990 3315 3910 4485 5083 5865 6630 8970 10166 11730 15249 25415 30498 50830 76245 152490 73449029 146898058 220347087 367245145 440694174 734490290 954837377 1101735435 1248633493 1689327667 1909674754 2203470870 2497266986 2864512131 3378655334 3745900479 4774186885 5067983001 5729024262 6243167465 7491800958 8446638335 9548373770 10135966002 12486334930 14322560655 16232235409 16893276670 18729502395 21961259671 25339915005 28645121310 28718570339 32464470818 37459004790 43922519342 48696706227 50679830010 57437140678 65883779013 81161177045 86155711017 97393412454 109806298355 131767558026 143592851695 162322354090 172311422034 219612596710 243483531135 287185703390 329418895065 373341414407 430778555085 486967062270 658837790130 746682828814 861557110170 1120024243221 1866707072035 2240048486442 3733414144070 5600121216105 11200242432210