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132400211234033 = 1767093151736833
BaseRepresentation
bin11110000110101011010011…
…100011110000110011110001
3122100210100002100220022100102
4132012223103203300303301
5114323221113033442113
61145331452314402145
736613412442444311
oct3606532343606361
9570710070808312
10132400211234033
1139206683636696
1212a2406aa30355
1358b5395146332
14249a2c0cb9441
151049077797758
hex786ad38f0cf1

132400211234033 has 16 divisors (see below), whose sum is σ = 140217609969360. Its totient is φ = 124586053902336.

The previous prime is 132400211234017. The next prime is 132400211234099. The reversal of 132400211234033 is 330432112004231.

It can be written as a sum of positive squares in 8 ways, for example, as 13073055086224 + 119327156147809 = 3615668^2 + 10923697^2 .

It is a cyclic number.

It is not a de Polignac number, because 132400211234033 - 24 = 132400211234017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132400211233987 and 132400211234005.

It is not an unprimeable number, because it can be changed into a prime (132400211234833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594589985 + ... + 3594626817.

It is an arithmetic number, because the mean of its divisors is an integer number (8763600623085).

Almost surely, 2132400211234033 is an apocalyptic number.

It is an amenable number.

132400211234033 is a deficient number, since it is larger than the sum of its proper divisors (7817398735327).

132400211234033 is a wasteful number, since it uses less digits than its factorization.

132400211234033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75076.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132400211234033 its reverse (330432112004231), we get a palindrome (462832323238264).

The spelling of 132400211234033 in words is "one hundred thirty-two trillion, four hundred billion, two hundred eleven million, two hundred thirty-four thousand, thirty-three".

Divisors: 1 17 6709 31517 36833 114053 535789 626161 211447553 247112597 1160865661 3594608401 4200914149 19734716237 7788247719649 132400211234033