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220313114135532 = 2232112919184353373
BaseRepresentation
bin110010000101111110100100…
…111010000100101111101100
31001220001201122201120200221200
4302011332210322010233230
5212334102224204314112
62100322240350125500
764256045230514265
oct6205764472045754
91056051581520850
10220313114135532
11642202a3418820
12208621a81b0890
1395c158c2c5a12
143c592d697d96c
151a70cb2a7dcdc
hexc85fa4e84bec

220313114135532 has 72 divisors (see below), whose sum is σ = 628479416532240. Its totient is φ = 64459427329920.

The previous prime is 220313114135501. The next prime is 220313114135539. The reversal of 220313114135532 is 235531411313022.

220313114135532 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 1 + 3 + 114 + 1 + 3 + 5 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220313114135539) 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, 9592165203 + ... + 9592188170.

It is an arithmetic number, because the mean of its divisors is an integer number (8728880785170).

Almost surely, 2220313114135532 is an apocalyptic number.

220313114135532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220313114135532 is an abundant number, since it is smaller than the sum of its proper divisors (408166302396708).

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

220313114135532 is a wasteful number, since it uses less digits than its factorization.

220313114135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19184353423 (or 19184353418 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 220313114135532 its reverse (235531411313022), we get a palindrome (455844525448554).

The spelling of 220313114135532 in words is "two hundred twenty trillion, three hundred thirteen billion, one hundred fourteen million, one hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 19184353373 38368706746 57553060119 76737413492 115106120238 172659180357 211027887103 230212240476 345318360714 422055774206 556346247817 633083661309 690636721428 844111548412 1112692495634 1266167322618 1669038743451 1899250983927 2225384991268 2532334645236 3338077486902 3798501967854 5007116230353 6119808725987 6676154973804 7597003935708 10014232460706 12239617451974 18359426177961 20028464921412 24479234903948 36718852355922 55078278533883 73437704711844 110156557067766 220313114135532