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133020402001333 = 71141144472916527
BaseRepresentation
bin11110001111101100111001…
…110011110010010110110101
3122102222121220112020121121221
4132033230321303302112311
5114413401240403020313
61150524421251110341
740006256365131160
oct3617547163622665
9572877815217557
10133020402001333
11394256aa105530
1212b042b35a23b1
13592ba01b52212
1424bc316902ad7
15105a274eb4c8d
hex78fb39cf25b5

133020402001333 has 32 divisors (see below), whose sum is σ = 169900402065408. Its totient is φ = 101117123030400.

The previous prime is 133020402001309. The next prime is 133020402001373. The reversal of 133020402001333 is 333100204020331.

It is a cyclic number.

It is not a de Polignac number, because 133020402001333 - 29 = 133020402000821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133020402001298 and 133020402001307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020402001373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44150916 + ... + 47067442.

It is an arithmetic number, because the mean of its divisors is an integer number (5309387564544).

Almost surely, 2133020402001333 is an apocalyptic number.

It is an amenable number.

133020402001333 is a deficient number, since it is larger than the sum of its proper divisors (36880000064075).

133020402001333 is a wasteful number, since it uses less digits than its factorization.

133020402001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931033.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 133020402001333 its reverse (333100204020331), we get a palindrome (466120606021664).

The spelling of 133020402001333 in words is "one hundred thirty-three trillion, twenty billion, four hundred two million, one thousand, three hundred thirty-three".

Divisors: 1 7 11 41 77 287 451 3157 14447 101129 158917 592327 1112419 2916527 4146289 6515597 20415689 32081797 45609179 119577607 224572579 837043249 1315353677 9207475739 42135065569 294945458983 463485721259 1727537688329 3244400048813 12092763818303 19002914571619 133020402001333