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111141421220 = 225173676911289
BaseRepresentation
bin110011110000010001…
…0111000000010100100
3101121212122012011221002
41213200202320002210
53310104200434340
6123020242212432
711013121331054
oct1474042700244
9347778164832
10111141421220
1143153486835
1219659054118
13a632b2128b
145544a25564
152d57411715
hex19e08b80a4

111141421220 has 96 divisors (see below), whose sum is σ = 248350717440. Its totient is φ = 41634754560.

The previous prime is 111141421189. The next prime is 111141421249. The reversal of 111141421220 is 22124141111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111141421192 and 111141421201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86222336 + ... + 86223624.

It is an arithmetic number, because the mean of its divisors is an integer number (2586986640).

Almost surely, 2111141421220 is an apocalyptic number.

111141421220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111141421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124175358720).

111141421220 is an abundant number, since it is smaller than the sum of its proper divisors (137209296220).

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

111141421220 is a wasteful number, since it uses less digits than its factorization.

111141421220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111141421220 its reverse (22124141111), we get a palindrome (133265562331).

The spelling of 111141421220 in words is "one hundred eleven billion, one hundred forty-one million, four hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 367 691 734 1289 1382 1468 1835 2578 2764 3455 3670 5156 6239 6445 6910 7340 11747 12478 12890 13820 21913 23494 24956 25780 31195 43826 46988 58735 62390 87652 109565 117470 124780 219130 234940 253597 438260 473063 507194 890699 946126 1014388 1267985 1781398 1892252 2365315 2535970 3562796 4311149 4453495 4730630 5071940 8042071 8622298 8906990 9461260 15141883 16084142 17244596 17813980 21555745 30283766 32168284 40210355 43111490 60567532 75709415 80420710 86222980 151418830 160841420 302837660 326886533 653773066 1307546132 1634432665 3268865330 5557071061 6537730660 11114142122 22228284244 27785355305 55570710610 111141421220