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13111031221230 = 2352947859373273
BaseRepresentation
bin1011111011001010011001…
…0110111100101111101110
31201102101212022022222020110
42332302212112330233232
53204302342443034410
643515042525000450
72522145401405625
oct276624626745756
951371768288213
1013111031221230
1141a53a2358658
1215790099b3126
13741498a042a7
143348121626bc
1517b0ac07b720
hexbeca65bcbee

13111031221230 has 128 divisors (see below), whose sum is σ = 33282901555200. Its totient is φ = 3300035042304.

The previous prime is 13111031221229. The next prime is 13111031221289. The reversal of 13111031221230 is 3212213011131.

It is a junction number, because it is equal to n+sod(n) for n = 13111031221197 and 13111031221206.

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, 34937874 + ... + 35311146.

It is an arithmetic number, because the mean of its divisors is an integer number (260022668400).

Almost surely, 213111031221230 is an apocalyptic number.

13111031221230 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 13111031221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641450777600).

13111031221230 is an abundant number, since it is smaller than the sum of its proper divisors (20171870333970).

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

13111031221230 is a wasteful number, since it uses less digits than its factorization.

13111031221230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374218.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13111031221230 its reverse (3212213011131), we get a palindrome (16323244232361).

The spelling of 13111031221230 in words is "thirteen trillion, one hundred eleven billion, thirty-one million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 435 470 705 859 870 1363 1410 1718 2577 2726 4089 4295 5154 6815 8178 8590 12885 13630 20445 24911 25770 40373 40890 49822 74733 80746 121119 124555 149466 201865 242238 249110 373273 373665 403730 605595 746546 747330 1119819 1170817 1211190 1866365 2239638 2341634 3512451 3732730 5599095 5854085 7024902 10824917 11198190 11708170 17543831 17562255 21649834 32474751 35087662 35124510 52631493 54124585 64949502 87719155 105262986 108249170 162373755 175438310 263157465 320641507 324747510 508771099 526314930 641283014 961924521 1017542198 1526313297 1603207535 1923849042 2543855495 3052626594 3206415070 4809622605 5087710990 7631566485 9298603703 9619245210 15070150829 15263132970 18597207406 27895811109 30140301658 45210452487 46493018515 55791622218 75350754145 90420904974 92986037030 139479055545 150701508290 226052262435 278958111090 437034374041 452104524870 874068748082 1311103122123 2185171870205 2622206244246 4370343740410 6555515610615 13111031221230