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111221320211130 = 23561311491398011
BaseRepresentation
bin11001010010011110111011…
…010010000101101010111010
3112120210122200000222211112210
4121102132323102011222322
5104034222230433224010
61032314211422315550
732266321666155543
oct3122367322055272
9476718600884483
10111221320211130
11324907737a8488
121058352b128bb6
134a0a1829272bc
141d671d7c134ca
15ccd1c5eecb20
hex6527bb485aba

111221320211130 has 128 divisors (see below), whose sum is σ = 272734481590272. Its totient is φ = 29019705120000.

The previous prime is 111221320211129. The next prime is 111221320211189. The reversal of 111221320211130 is 31112023122111.

It is a junction number, because it is equal to n+sod(n) for n = 111221320211097 and 111221320211106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279243825 + ... + 279641835.

It is an arithmetic number, because the mean of its divisors is an integer number (2130738137424).

Almost surely, 2111221320211130 is an apocalyptic number.

111221320211130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221320211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136367240795136).

111221320211130 is an abundant number, since it is smaller than the sum of its proper divisors (161513161379142).

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

111221320211130 is a wasteful number, since it uses less digits than its factorization.

111221320211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398884.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 111221320211130 its reverse (31112023122111), we get a palindrome (142333343333241).

The spelling of 111221320211130 in words is "one hundred eleven trillion, two hundred twenty-one billion, three hundred twenty million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 311 366 491 610 622 915 933 982 1473 1555 1830 1866 2455 2946 3110 4665 4910 7365 9330 14730 18971 29951 37942 56913 59902 89853 94855 113826 149755 152701 179706 189710 284565 299510 305402 398011 449265 458103 569130 763505 796022 898530 916206 1194033 1527010 1990055 2290515 2388066 3980110 4581030 5970165 9314761 11940330 18629522 24278671 27944283 46573805 48557342 55888566 72836013 93147610 121393355 123781421 139721415 145672026 195423401 242786710 247562842 279442830 364180065 371344263 390846802 586270203 618907105 728360130 742688526 977117005 1172540406 1237814210 1856721315 1954234010 2931351015 3713442630 5862702030 7550666681 11920827461 15101333362 22652000043 23841654922 35762482383 37753333405 45304000086 59604137305 60776677711 71524964766 75506666810 113260000215 119208274610 121553355422 178812411915 182330033133 226520000430 303883388555 357624823830 364660066266 607766777110 911650165665 1823300331330 3707377340371 7414754680742 11122132021113 18536886701855 22244264042226 37073773403710 55610660105565 111221320211130