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12233032130133 = 331995273431777
BaseRepresentation
bin1011001000000011100110…
…0010001101111001010101
31121022110121001010212021000
42302000321202031321111
53100411222211131013
642003435525213513
72401543640310633
oct262007142157125
947273531125230
1012233032130133
113996aaa7a5301
121456a15861299
136a9754327a99
14304120ab6353
151633212ac973
hexb203988de55

12233032130133 has 32 divisors (see below), whose sum is σ = 18217577376000. Its totient is φ = 8112815428608.

The previous prime is 12233032130129. The next prime is 12233032130177. The reversal of 12233032130133 is 33103123033221.

12233032130133 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 0 + 321 + 301 + 33 = 666.

It is not a de Polignac number, because 12233032130133 - 22 = 12233032130129 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12233032130097 and 12233032130106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233032130633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28115941 + ... + 28547717.

It is an arithmetic number, because the mean of its divisors is an integer number (569299293000).

Almost surely, 212233032130133 is an apocalyptic number.

It is an amenable number.

12233032130133 is a deficient number, since it is larger than the sum of its proper divisors (5984545245867).

12233032130133 is a wasteful number, since it uses less digits than its factorization.

12233032130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437258 (or 437252 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12233032130133 its reverse (33103123033221), we get a palindrome (45336155163354).

The spelling of 12233032130133 in words is "twelve trillion, two hundred thirty-three billion, thirty-two million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 27 199 597 1791 5273 5373 15819 47457 142371 431777 1049327 1295331 3147981 3885993 9443943 11657979 28331829 85923623 257770869 773312607 2276760121 2319937821 6830280363 20490841089 61472523267 453075264079 1359225792237 4077677376711 12233032130133