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111230221320 = 233251013059137
BaseRepresentation
bin110011110010111010…
…1100111110000001000
3101122002211021200202200
41213211311213300020
53310244414040240
6123033133400200
711015250165351
oct1474565476010
9348084250680
10111230221320
1143199618649
1219682939060
13a64834300a
14555273cd28
152d60102930
hex19e5d67c08

111230221320 has 96 divisors (see below), whose sum is σ = 365077528920. Its totient is φ = 29367705600.

The previous prime is 111230221309. The next prime is 111230221321. The reversal of 111230221320 is 23122032111.

111230221320 is a `hidden beast` number, since 1 + 1 + 123 + 0 + 221 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110677313124 + 552908196 = 332682^2 + 23514^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 111230221293 and 111230221302.

It is not an unprimeable number, because it can be changed into a prime (111230221321) 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, 1493209 + ... + 1565928.

Almost surely, 2111230221320 is an apocalyptic number.

111230221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111230221320 is an abundant number, since it is smaller than the sum of its proper divisors (253847307600).

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

111230221320 is a wasteful number, since it uses less digits than its factorization.

111230221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059255 (or 3059248 counting only the distinct ones).

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

Adding to 111230221320 its reverse (23122032111), we get a palindrome (134352253431).

The spelling of 111230221320 in words is "one hundred eleven billion, two hundred thirty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 3059137 6118274 9177411 12236548 15295685 18354822 24473096 27532233 30591370 36709644 45887055 55064466 61182740 73419288 91774110 110128932 122365480 137661165 183548220 220257864 275322330 308972837 367096440 550644660 617945674 926918511 1101289320 1235891348 1544864185 1853837022 2471782696 2780755533 3089728370 3707674044 4634592555 5561511066 6179456740 7415348088 9269185110 11123022132 12358913480 13903777665 18538370220 22246044264 27807555330 37076740440 55615110660 111230221320