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12230132314311 = 34374959782279
BaseRepresentation
bin1011000111111000110010…
…1100010011000011000111
31121022012002221121221210000
42301332030230103003013
53100334302333024221
642002240100132343
72401412036265252
oct261761454230307
947265087557700
1012230132314311
1139958519417aa
1214563466970b3
136a93b161cb32
14303d2790c099
15163201907e26
hexb1f8cb130c7

12230132314311 has 40 divisors (see below), whose sum is σ = 18764085977120. Its totient is φ = 7932802433472.

The previous prime is 12230132314289. The next prime is 12230132314319. The reversal of 12230132314311 is 11341323103221.

12230132314311 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 1 + 32 + 314 + 311 = 666.

12230132314311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12230132314311 - 229 = 12229595443399 is a prime.

It is a super-2 number, since 2×122301323143112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230132314319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148601070 + ... + 148683348.

It is an arithmetic number, because the mean of its divisors is an integer number (469102149428).

Almost surely, 212230132314311 is an apocalyptic number.

12230132314311 is a deficient number, since it is larger than the sum of its proper divisors (6533953662809).

12230132314311 is an equidigital number, since it uses as much as digits as its factorization.

12230132314311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131925 (or 131916 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12230132314311 its reverse (11341323103221), we get a palindrome (23571455417532).

The spelling of 12230132314311 in words is "twelve trillion, two hundred thirty billion, one hundred thirty-two million, three hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 9 27 37 81 111 333 999 2997 49597 82279 148791 246837 446373 740511 1339119 1835089 2221533 3044323 4017357 5505267 6664599 9132969 16515801 27398907 49547403 82196721 148642209 246590163 4080791563 12242374689 36727124067 110181372201 150989287831 330544116603 452967863493 1358903590479 4076710771437 12230132314311