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1110201221313 = 3219313734391279
BaseRepresentation
bin10000001001111101001…
…001100100000011000001
310221010121211110111121100
4100021331021210003001
5121142143003040223
62210004105045013
7143131551451362
oct20117511440301
93833554414540
101110201221313
11398919712608
1215b1b8186769
13808cb3898c2
143ba3c249b69
151dd2b35a043
hex1027d2640c1

1110201221313 has 96 divisors (see below), whose sum is σ = 1752498176000. Its totient is φ = 674672353920.

The previous prime is 1110201221287. The next prime is 1110201221321. The reversal of 1110201221313 is 3131221020111.

1110201221313 is a `hidden beast` number, since 1 + 110 + 20 + 1 + 221 + 313 = 666.

It is not a de Polignac number, because 1110201221313 - 218 = 1110200959169 is a prime.

It is a super-3 number, since 3×11102012213133 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1110201221323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868022208 + ... + 868023486.

Almost surely, 21110201221313 is an apocalyptic number.

It is an amenable number.

1110201221313 is a deficient number, since it is larger than the sum of its proper divisors (642296954687).

1110201221313 is a wasteful number, since it uses less digits than its factorization.

1110201221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1110201221313 its reverse (3131221020111), we get a palindrome (4241422241424).

The spelling of 1110201221313 in words is "one trillion, one hundred ten billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 19 31 57 93 171 279 373 439 589 1119 1279 1317 1767 3357 3837 3951 5301 7087 8341 11511 11563 13609 21261 24301 25023 34689 39649 40827 63783 72903 75069 104067 118947 122481 163747 218709 219697 258571 356841 477067 491241 561481 659091 753331 775713 1431201 1473723 1684443 1977273 2259993 2327139 3111193 4293603 5053329 5076157 6779979 9064273 9333579 10668139 14789077 15228471 17405911 27192819 28000737 32004417 44367231 45685413 52217733 81578457 96013251 96446983 133101693 156653199 209432413 280992463 289340949 330712309 628297239 842977389 868022847 992136927 1884891717 2528932167 2976410781 3979215847 6492404803 11937647541 19477214409 35812942623 58431643227 123355691257 370067073771 1110201221313