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122214203300 = 22527199787427
BaseRepresentation
bin111000111010010001…
…0001011111110100100
3102200110022120210102002
41301310202023332210
54000243314001200
6132051110304432
711554403405420
oct1616442137644
9380408523362
10122214203300
1147915805902
121b829358118
13b6a8b4c837
145cb543db80
1532a457abd5
hex1c7488bfa4

122214203300 has 72 divisors (see below), whose sum is σ = 303246465984. Its totient is φ = 41880551040.

The previous prime is 122214203281. The next prime is 122214203303. The reversal of 122214203300 is 3302412221.

It is a super-2 number, since 2×1222142033002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122214203303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1354187 + ... + 1441613.

It is an arithmetic number, because the mean of its divisors is an integer number (4211756472).

Almost surely, 2122214203300 is an apocalyptic number.

122214203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122214203300 is an abundant number, since it is smaller than the sum of its proper divisors (181032262684).

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

122214203300 is a wasteful number, since it uses less digits than its factorization.

122214203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89445 (or 89438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122214203300 its reverse (3302412221), we get a palindrome (125516615521).

The spelling of 122214203300 in words is "one hundred twenty-two billion, two hundred fourteen million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1997 3994 7988 9985 13979 19970 27958 39940 49925 55916 69895 87427 99850 139790 174854 199700 279580 349475 349708 437135 611989 698950 874270 1223978 1397900 1748540 2185675 2447956 3059945 4371350 6119890 8742700 12239780 15299725 30599450 61198900 174591719 349183438 698366876 872958595 1222142033 1745917190 2444284066 3491834380 4364792975 4888568132 6110710165 8729585950 12221420330 17459171900 24442840660 30553550825 61107101650 122214203300