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21433440322201 = 733891213622241
BaseRepresentation
bin1001101111110010111001…
…00110001100001010011001
32210220000110022022200100111
410313321130212030022121
510302131141210302301
6113330215255004321
74341341426514445
oct467713446141231
983800408280314
1021433440322201
116913964325346
1224a1b3b9696a1
13bc621ac55bbb
14541553b77825
152727edb8e551
hex137e5c98c299

21433440322201 has 16 divisors (see below), whose sum is σ = 21800895601680. Its totient is φ = 21068070727680.

The previous prime is 21433440322183. The next prime is 21433440322223. The reversal of 21433440322201 is 10222304433412.

It can be written as a sum of positive squares in 8 ways, for example, as 3581556250000 + 17851884072201 = 1892500^2 + 4225149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21433440322201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21433440322271) 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, 34134441 + ... + 34756681.

It is an arithmetic number, because the mean of its divisors is an integer number (1362555975105).

Almost surely, 221433440322201 is an apocalyptic number.

It is an amenable number.

21433440322201 is a deficient number, since it is larger than the sum of its proper divisors (367455279479).

21433440322201 is a wasteful number, since it uses less digits than its factorization.

21433440322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623916.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 21433440322201 its reverse (10222304433412), we get a palindrome (31655744755613).

The spelling of 21433440322201 in words is "twenty-one trillion, four hundred thirty-three billion, four hundred forty million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 73 389 1213 28397 88549 471857 622241 34445561 45423593 242051749 754778333 17669777677 55098818309 293608771537 21433440322201