Search a number
-
+
11103031231230 = 2351761941379273
BaseRepresentation
bin1010000110010010000000…
…1110111000001011111110
31110022102212100002112002110
42201210200032320023332
52423403001443344410
635340355004234450
72224111315201551
oct241444016701376
943272770075073
1011103031231230
1135a0850746994
1212b3a1283ba26
1362701bc31533
142a556500c698
15143c36aa6720
hexa19203b82fe

11103031231230 has 128 divisors (see below), whose sum is σ = 28707849830016. Its totient is φ = 2738040422400.

The previous prime is 11103031231177. The next prime is 11103031231277. The reversal of 11103031231230 is 3213213030111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11103031231197 and 11103031231206.

It is a congruent number.

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, 29084874 + ... + 29464146.

It is an arithmetic number, because the mean of its divisors is an integer number (224280076797).

Almost surely, 211103031231230 is an apocalyptic number.

11103031231230 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 11103031231230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353924915008).

11103031231230 is an abundant number, since it is smaller than the sum of its proper divisors (17604818598786).

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

11103031231230 is a wasteful number, since it uses less digits than its factorization.

11103031231230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380302.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11103031231230 its reverse (3213213030111), we get a palindrome (14316244261341).

The spelling of 11103031231230 in words is "eleven trillion, one hundred three billion, thirty-one million, two hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 941 1037 1830 1882 2074 2823 3111 4705 5185 5646 6222 9410 10370 14115 15555 15997 28230 31110 31994 47991 57401 79985 95982 114802 159970 172203 239955 287005 344406 379273 479910 574010 758546 861015 975817 1137819 1722030 1896365 1951634 2275638 2927451 3792730 4879085 5689095 5854902 6447641 9758170 11378190 12895282 14637255 19342923 23135653 29274510 32238205 38685846 46271306 64476410 69406959 96714615 115678265 138813918 193429230 231356530 347034795 356895893 393306101 694069590 713791786 786612202 1070687679 1179918303 1784479465 1966530505 2141375358 2359836606 3568958930 3933061010 5353438395 5899591515 6067230181 10706876790 11799183030 12134460362 18201690543 21770649473 30336150905 36403381086 43541298946 60672301810 65311948419 91008452715 108853247365 130623896838 182016905430 217706494730 326559742095 370101041041 653119484190 740202082082 1110303123123 1850505205205 2220606246246 3701010410410 5551515615615 11103031231230