Search a number
-
+
132100400424033 = 32177249011191061
BaseRepresentation
bin11110000010010100000101…
…011100010010010001100001
3122022201200020000222010111100
4132002110011130102101201
5114303313110002032113
61144542030340305013
736552640032554166
oct3602240534222141
9568650200863440
10132100400424033
1139100513209668
1212995b389a2169
135893025588592
14248999cd4406d
15104137ba09d73
hex782505712461

132100400424033 has 24 divisors (see below), whose sum is σ = 202036354866216. Its totient is φ = 82886341824000.

The previous prime is 132100400424029. The next prime is 132100400424059. The reversal of 132100400424033 is 330424004001231.

132100400424033 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 0 + 400 + 4 + 240 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108089146007649 + 24011254416384 = 10396593^2 + 4900128^2 .

It is not a de Polignac number, because 132100400424033 - 22 = 132100400424029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132100400423988 and 132100400424006.

It is not an unprimeable number, because it can be changed into a prime (132100400464033) 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, 110314323 + ... + 111505383.

It is an arithmetic number, because the mean of its divisors is an integer number (8418181452759).

Almost surely, 2132100400424033 is an apocalyptic number.

It is an amenable number.

132100400424033 is a deficient number, since it is larger than the sum of its proper divisors (69935954442183).

132100400424033 is a wasteful number, since it uses less digits than its factorization.

132100400424033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915985 (or 1915982 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132100400424033 its reverse (330424004001231), we get a palindrome (462524404425264).

The spelling of 132100400424033 in words is "one hundred thirty-two trillion, one hundred billion, four hundred million, four hundred twenty-four thousand, thirty-three".

Divisors: 1 3 9 17 51 153 724901 1191061 2174703 3573183 6524109 10719549 12323317 20248037 36969951 60744111 110909853 182232333 863401309961 2590203929883 7770611789649 14677822269337 44033466808011 132100400424033