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213432433101 = 3267500970663
BaseRepresentation
bin1100011011000110010…
…0000111100111001101
3202101220110202222122200
43012301210013213031
511444102200324401
6242014405432113
721264024514356
oct3066144074715
9671813688580
10213432433101
1182575053a88
123544610b639
1317185179a44
14a48a054d2d
155842844686
hex31b19079cd

213432433101 has 24 divisors (see below), whose sum is σ = 312959549760. Its totient is φ = 140134617216.

The previous prime is 213432433099. The next prime is 213432433103. The reversal of 213432433101 is 101334234312.

It is a happy number.

213432433101 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 324 + 331 + 0 + 1 = 666.

213432433101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213432433099) and next prime (213432433103).

It is not a de Polignac number, because 213432433101 - 21 = 213432433099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213432433103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2985096 + ... + 3055758.

It is an arithmetic number, because the mean of its divisors is an integer number (13039981240).

Almost surely, 2213432433101 is an apocalyptic number.

It is an amenable number.

213432433101 is a deficient number, since it is larger than the sum of its proper divisors (99527116659).

213432433101 is a wasteful number, since it uses less digits than its factorization.

213432433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75745 (or 75742 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213432433101 its reverse (101334234312), we get a palindrome (314766667413).

The spelling of 213432433101 in words is "two hundred thirteen billion, four hundred thirty-two million, four hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 67 201 603 5009 15027 45081 70663 211989 335603 635967 1006809 3020427 4734421 14203263 42609789 353950967 1061852901 3185558703 23714714789 71144144367 213432433101