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133322032202013 = 3343114833791733
BaseRepresentation
bin11110010100000101110100…
…010111101100000100011101
3122111001110110122200102022000
4132110011310113230010131
5114433322010220431023
61151315143541112513
740040125146416304
oct3624056427540435
9574043418612260
10133322032202013
1139531613530716
1212b528529b8739
1359512a162bcc5
1424ccb6c35b43b
15106302a83b243
hex7941745ec11d

133322032202013 has 16 divisors (see below), whose sum is σ = 202107473451840. Its totient is φ = 86814346549392.

The previous prime is 133322032201999. The next prime is 133322032202071. The reversal of 133322032202013 is 310202230223331.

133322032202013 is a `hidden beast` number, since 1 + 3 + 3 + 32 + 203 + 220 + 201 + 3 = 666.

It is not a de Polignac number, because 133322032202013 - 210 = 133322032200989 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133322030202013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57416894706 + ... + 57416897027.

It is an arithmetic number, because the mean of its divisors is an integer number (12631717090740).

Almost surely, 2133322032202013 is an apocalyptic number.

It is an amenable number.

133322032202013 is a deficient number, since it is larger than the sum of its proper divisors (68785441249827).

133322032202013 is a wasteful number, since it uses less digits than its factorization.

133322032202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114833791785 (or 114833791779 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133322032202013 its reverse (310202230223331), we get a palindrome (443524262425344).

The spelling of 133322032202013 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, thirty-two million, two hundred two thousand, thirteen".

Divisors: 1 3 9 27 43 129 387 1161 114833791733 344501375199 1033504125597 3100512376791 4937853044519 14813559133557 44440677400671 133322032202013