Search a number
-
+
1222411230020 = 2252943421116423
BaseRepresentation
bin10001110010011101011…
…000110001101101000100
311022212020221101112222202
4101302131120301231010
5130011444233330040
62333322403014032
7154213330005041
oct21623530615504
94285227345882
101222411230020
114314702a89a2
12178ab306a318
138b3716b0966
1443244b541c8
1521be749a015
hex11c9d631b44

1222411230020 has 96 divisors (see below), whose sum is σ = 2723818648320. Its totient is φ = 460025233920.

The previous prime is 1222411230011. The next prime is 1222411230067. The reversal of 1222411230020 is 200321142221.

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 = 1222411229974 and 1222411230001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10441529 + ... + 10557951.

It is an arithmetic number, because the mean of its divisors is an integer number (28373110920).

Almost surely, 21222411230020 is an apocalyptic number.

1222411230020 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 1222411230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361909324160).

1222411230020 is an abundant number, since it is smaller than the sum of its proper divisors (1501407418300).

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

1222411230020 is a wasteful number, since it uses less digits than its factorization.

1222411230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116925 (or 116923 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1222411230020 its reverse (200321142221), we get a palindrome (1422732372241).

The spelling of 1222411230020 in words is "one trillion, two hundred twenty-two billion, four hundred eleven million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 421 430 580 842 860 1247 1684 2105 2494 4210 4988 6235 8420 12209 12470 18103 24418 24940 36206 48836 61045 72412 90515 116423 122090 181030 232846 244180 362060 465692 524987 582115 1049974 1164230 2099948 2328460 2624935 3376267 5006189 5249870 6752534 10012378 10499740 13505068 16881335 20024756 25030945 33762670 49014083 50061890 67525340 98028166 100123780 145179481 196056332 245070415 290358962 490140830 580717924 725897405 980281660 1421408407 1451794810 2107605569 2842816814 2903589620 4215211138 5685633628 7107042035 8430422276 10538027845 14214084070 21076055690 28428168140 42152111380 61120561501 122241123002 244482246004 305602807505 611205615010 1222411230020