Search a number
-
+
4033122213341 = 131237401362497
BaseRepresentation
bin111010101100001000110…
…100010001110111011101
3112021120012012222110211102
4322230020310101313131
51012034313241311331
612324442450002445
7564245346114554
oct72541064216735
915246165873742
104033122213341
11131548a389801
12551790576425
13233424c95540
14dd2c02c4d9b
156ed9dc694cb
hex3ab08d11ddd

4033122213341 has 16 divisors (see below), whose sum is σ = 4348026358704. Its totient is φ = 3718885976064.

The previous prime is 4033122213317. The next prime is 4033122213389. The reversal of 4033122213341 is 1433122213304.

It can be written as a sum of positive squares in 8 ways, for example, as 13213502500 + 4019908710841 = 114950^2 + 2004971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4033122213341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033122213541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64501805 + ... + 64564301.

It is an arithmetic number, because the mean of its divisors is an integer number (271751647419).

Almost surely, 24033122213341 is an apocalyptic number.

It is an amenable number.

4033122213341 is a deficient number, since it is larger than the sum of its proper divisors (314904145363).

4033122213341 is a wasteful number, since it uses less digits than its factorization.

4033122213341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67760.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 4033122213341 its reverse (1433122213304), we get a palindrome (5466244426645).

The spelling of 4033122213341 in words is "four trillion, thirty-three billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred forty-one".

Divisors: 1 13 1237 4013 16081 52169 62497 812461 4964081 64533053 77308789 250800461 1005014257 3260405993 310240170257 4033122213341