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220114113300 = 223252244571237
BaseRepresentation
bin1100110011111111010…
…0101101001100010100
3210001011010112111202200
43030333310231030110
512101243203111200
6245041413204500
721621430043514
oct3147764551424
9701133474680
10220114113300
1185393751234
12367ab930730
13179ab53c473
14a9215cd844
155ad4231800
hex333fd2d314

220114113300 has 54 divisors (see below), whose sum is σ = 689935462398. Its totient is φ = 58697096640.

The previous prime is 220114113299. The next prime is 220114113301. The reversal of 220114113300 is 3311411022.

220114113300 is a `hidden beast` number, since 220 + 1 + 1 + 411 + 3 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220114113299) and next prime (220114113301).

It can be written as a sum of positive squares in 3 ways, for example, as 38116314756 + 181997798544 = 195234^2 + 426612^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220114113301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122284719 + ... + 122286518.

It is an arithmetic number, because the mean of its divisors is an integer number (12776582637).

Almost surely, 2220114113300 is an apocalyptic number.

220114113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220114113300 is an abundant number, since it is smaller than the sum of its proper divisors (469821349098).

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

220114113300 is a wasteful number, since it uses less digits than its factorization.

220114113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244571257 (or 244571247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220114113300 its reverse (3311411022), we get a palindrome (223425524322).

The spelling of 220114113300 in words is "two hundred twenty billion, one hundred fourteen million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 244571237 489142474 733713711 978284948 1222856185 1467427422 2201141133 2445712370 2934854844 3668568555 4402282266 4891424740 6114280925 7337137110 8804564532 11005705665 12228561850 14674274220 18342842775 22011411330 24457123700 36685685550 44022822660 55028528325 73371371100 110057056650 220114113300