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13020222033 = 32741346349
BaseRepresentation
bin11000010000001000…
…01101001001010001
31020121101211210212200
430020010031021101
5203131134101113
65551552313413
7640440030000
oct141004151121
936541753780
1013020222033
115581637585
122634542869
1312c66321c0
148b7310c37
155130e8873
hex30810d251

13020222033 has 60 divisors (see below), whose sum is σ = 23628395700. Its totient is φ = 6867661248.

The previous prime is 13020222001. The next prime is 13020222037. The reversal of 13020222033 is 33022202031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2157788304 + 10862433729 = 46452^2 + 104223^2 .

It is not a de Polignac number, because 13020222033 - 25 = 13020222001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13020221997 and 13020222015.

It is not an unprimeable number, because it can be changed into a prime (13020222037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 257743 + ... + 304091.

It is an arithmetic number, because the mean of its divisors is an integer number (393806595).

Almost surely, 213020222033 is an apocalyptic number.

13020222033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13020222033 is a deficient number, since it is larger than the sum of its proper divisors (10608173667).

13020222033 is an equidigital number, since it uses as much as digits as its factorization.

13020222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46396 (or 46372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13020222033 its reverse (33022202031), we get a palindrome (46042424064).

The spelling of 13020222033 in words is "thirteen billion, twenty million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 343 441 637 819 1029 1911 2401 3087 4459 5733 7203 13377 21609 31213 40131 46349 93639 139047 280917 324443 417141 602537 973329 1807611 2271101 2919987 4217759 5422833 6813303 12653277 15897707 20439909 29524313 37959831 47693121 88572939 111283949 143079363 206670191 265718817 333851847 620010573 1001555541 1446691337 1860031719 4340074011 13020222033