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132233123023101 = 32853119314438041
BaseRepresentation
bin11110000100001111101100…
…010100110100100011111101
3122100012100210200221201220200
4132010033230110310203331
5114313001413443214401
61145123020314234113
736565346026210152
oct3604175424644375
9570170720851820
10132233123023101
11391518306aa771
12129b77b9425939
1358a26b7529c79
14249218dc46229
151044a488b9686
hex7843ec5348fd

132233123023101 has 24 divisors (see below), whose sum is σ = 191387623887096. Its totient is φ = 87978254492160.

The previous prime is 132233123023051. The next prime is 132233123023121. The reversal of 132233123023101 is 101320321332231.

132233123023101 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 312 + 30 + 2 + 310 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8019289467225 + 124213833555876 = 2831835^2 + 11145126^2 .

It is not a de Polignac number, because 132233123023101 - 29 = 132233123022589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233123023121) 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, 1939641 + ... + 16377681.

It is an arithmetic number, because the mean of its divisors is an integer number (7974484328629).

Almost surely, 2132233123023101 is an apocalyptic number.

It is an amenable number.

132233123023101 is a deficient number, since it is larger than the sum of its proper divisors (59154500863995).

132233123023101 is a wasteful number, since it uses less digits than its factorization.

132233123023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14440093 (or 14440090 counting only the distinct ones).

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

Adding to 132233123023101 its reverse (101320321332231), we get a palindrome (233553444355332).

The spelling of 132233123023101 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred twenty-three million, twenty-three thousand, one hundred one".

Divisors: 1 3 9 853 1193 2559 3579 7677 10737 1017629 3052887 9158661 14438041 43314123 129942369 12315648973 17224582913 36946946919 51673748739 110840840757 155021246217 14692569224789 44077707674367 132233123023101