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12230131321233 = 3273731523341729
BaseRepresentation
bin1011000111111000110010…
…1000100000100110010001
31121022012002212202111112100
42301332030220200212101
53100334302104234413
642002240022551013
72401412024661060
oct261761450404621
947265085674470
1012230131321233
113995851323681
121456346298469
136a93b1362b07
14303d277301d7
151632017ada73
hexb1f8ca20991

12230131321233 has 48 divisors (see below), whose sum is σ = 20256901441920. Its totient is φ = 6965313334272.

The previous prime is 12230131321229. The next prime is 12230131321259. The reversal of 12230131321233 is 33212313103221.

12230131321233 is a `hidden beast` number, since 1 + 2 + 2 + 301 + 3 + 1 + 321 + 2 + 33 = 666.

It is not a de Polignac number, because 12230131321233 - 22 = 12230131321229 is a prime.

It is a super-2 number, since 2×122301313212332 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12230131321197 and 12230131321206.

It is not an unprimeable number, because it can be changed into a prime (12230131321033) 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 47 ways as a sum of consecutive naturals, for example, 35618113 + ... + 35959841.

It is an arithmetic number, because the mean of its divisors is an integer number (422018780040).

Almost surely, 212230131321233 is an apocalyptic number.

It is an amenable number.

12230131321233 is a deficient number, since it is larger than the sum of its proper divisors (8026770120687).

12230131321233 is a wasteful number, since it uses less digits than its factorization.

12230131321233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343638 (or 343635 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12230131321233 its reverse (33212313103221), we get a palindrome (45442444424454).

The spelling of 12230131321233 in words is "twelve trillion, two hundred thirty billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 373 1119 1523 2611 3357 4569 7833 10661 13707 23499 31983 95949 341729 568079 1025187 1704237 2392103 3075561 3976553 5112711 7176309 11929659 21528927 35788977 127464917 382394751 520453267 892254419 1147184253 1561359801 2676763257 3643172869 4684079403 8030289771 10929518607 32788555821 194129068591 582387205773 1358903480137 1747161617319 4076710440411 12230131321233