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132130230228 = 223217613539329
BaseRepresentation
bin111101100001110010…
…0110100111111010100
3110122001101100011010200
41323003210310333110
54131100314331403
6140411053220500
712355211266053
oct1730344647724
9418041304120
10132130230228
1151044085687
1221736191730
13c5c93183a9
14657638439a
153684d9cca3
hex1ec3934fd4

132130230228 has 72 divisors (see below), whose sum is σ = 359440197480. Its totient is φ = 40773058560.

The previous prime is 132130230227. The next prime is 132130230229. The reversal of 132130230228 is 822032031231.

It is a happy number.

132130230228 is a `hidden beast` number, since 1 + 32 + 1 + 302 + 302 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (132130230227) and next prime (132130230229).

It can be written as a sum of positive squares in 4 ways, for example, as 1395919044 + 130734311184 = 37362^2 + 361572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130230227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732333 + ... + 1806996.

It is an arithmetic number, because the mean of its divisors is an integer number (4992224965).

Almost surely, 2132130230228 is an apocalyptic number.

132130230228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132130230228 is an abundant number, since it is smaller than the sum of its proper divisors (227309967252).

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

132130230228 is a wasteful number, since it uses less digits than its factorization.

132130230228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539417 (or 3539412 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132130230228 its reverse (822032031231), we get a palindrome (954162261459).

The spelling of 132130230228 in words is "one hundred thirty-two billion, one hundred thirty million, two hundred thirty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12444 18666 37332 3539329 7078658 10617987 14157316 21235974 31853961 42471948 60168593 63707922 120337186 127415844 180505779 215899069 240674372 361011558 431798138 541517337 647697207 722023116 863596276 1083034674 1295394414 1943091621 2166069348 2590788828 3670284173 3886183242 7340568346 7772366484 11010852519 14681136692 22021705038 33032557557 44043410076 66065115114 132130230228