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32133310121331 = 3243146117969449
BaseRepresentation
bin1110100111001100111101…
…00010010000010101110011
311012202220200122001102220100
413103212132202100111303
513202433004342340311
6152201501110443443
76524361244260156
oct723463642202563
9135686618042810
1032133310121331
11a269729939131
12372b798663583
1314c1209592303
147d1390b97c9d
153aacdb51ba56
hex1d399e890573

32133310121331 has 24 divisors (see below), whose sum is σ = 46623391214400. Its totient is φ = 21326140886400.

The previous prime is 32133310121327. The next prime is 32133310121333. The reversal of 32133310121331 is 13312101333123.

32133310121331 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 3 + 310 + 12 + 1 + 331 = 666.

It is not a de Polignac number, because 32133310121331 - 22 = 32133310121327 is a prime.

It is a super-2 number, since 2×321333101213312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32133310121295 and 32133310121304.

It is not an unprimeable number, because it can be changed into a prime (32133310121333) 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 23 ways as a sum of consecutive naturals, for example, 7196506 + ... + 10772943.

It is an arithmetic number, because the mean of its divisors is an integer number (1942641300600).

Almost surely, 232133310121331 is an apocalyptic number.

32133310121331 is a deficient number, since it is larger than the sum of its proper divisors (14490081093069).

32133310121331 is a wasteful number, since it uses less digits than its factorization.

32133310121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970347 (or 17970344 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 32133310121331 its reverse (13312101333123), we get a palindrome (45445411454454).

The spelling of 32133310121331 in words is "thirty-two trillion, one hundred thirty-three billion, three hundred ten million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 431 461 1293 1383 3879 4149 198691 596073 1788219 17969449 53908347 161725041 7744832519 8283915989 23234497557 24851747967 69703492671 74555243901 3570367791259 10711103373777 32133310121331