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112444322304330 = 2345138820150993
BaseRepresentation
bin11001100100010001111011…
…111000110101000101001010
3112202010120110011012100110000
4121210101323320311011022
5104214241433002214310
61035052113013503430
732453556062350032
oct3144217370650512
9482116404170400
10112444322304330
1132912407583655
1210740568041b76
134a985b9854b33
141daa4972128c2
15ceee052ad4c0
hex66447be3514a

112444322304330 has 40 divisors (see below), whose sum is σ = 302350288864932. Its totient is φ = 29985152614272.

The previous prime is 112444322304319. The next prime is 112444322304337. The reversal of 112444322304330 is 33403223444211.

112444322304330 is a `hidden beast` number, since 1 + 1 + 24 + 4 + 4 + 322 + 304 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109426809368529 + 3017512935801 = 10460727^2 + 1737099^2 .

It is a super-2 number, since 2×1124443223043302 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112444322304337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69410074687 + ... + 69410076306.

Almost surely, 2112444322304330 is an apocalyptic number.

112444322304330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112444322304330 is an abundant number, since it is smaller than the sum of its proper divisors (189905966560602).

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

112444322304330 is a wasteful number, since it uses less digits than its factorization.

112444322304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138820151012 (or 138820151003 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 112444322304330 its reverse (33403223444211), we get a palindrome (145847545748541).

The spelling of 112444322304330 in words is "one hundred twelve trillion, four hundred forty-four billion, three hundred twenty-two million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 138820150993 277640301986 416460452979 694100754965 832920905958 1249381358937 1388201509930 2082302264895 2498762717874 3748144076811 4164604529790 6246906794685 7496288153622 11244432230433 12493813589370 18740720384055 22488864460866 37481440768110 56222161152165 112444322304330