Search a number
-
+
103221303111003 = 37211197942528359
BaseRepresentation
bin10111011110000100010101…
…000110101110110101011011
3111112110212020002102122201110
4113132010111012232311123
5102012134212044023003
61003311113443551403
730512331054615600
oct2736042506566533
9445425202378643
10103221303111003
112a9869aa6a5710
12b6b0b9168b563
13457995b62692c
141b6bd1b1a26a7
15be005280aa03
hex5de1151aed5b

103221303111003 has 96 divisors (see below), whose sum is σ = 186172148736000. Its totient is φ = 50156244290880.

The previous prime is 103221303111001. The next prime is 103221303111061. The reversal of 103221303111003 is 300111303122301.

It is a happy number.

It is not a de Polignac number, because 103221303111003 - 21 = 103221303111001 is a prime.

It is a super-3 number, since 3×1032213031110033 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103221303111001) 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, 18837063 + ... + 23691296.

It is an arithmetic number, because the mean of its divisors is an integer number (1939293216000).

Almost surely, 2103221303111003 is an apocalyptic number.

103221303111003 is a deficient number, since it is larger than the sum of its proper divisors (82950845624997).

103221303111003 is a wasteful number, since it uses less digits than its factorization.

103221303111003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42528485 (or 42528478 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103221303111003 its reverse (300111303122301), we get a palindrome (403332606233304).

The spelling of 103221303111003 in words is "one hundred three trillion, two hundred twenty-one billion, three hundred three million, one hundred eleven thousand, three".

Divisors: 1 3 7 11 19 21 33 49 57 77 79 133 147 209 231 237 399 539 553 627 869 931 1463 1501 1617 1659 2607 2793 3871 4389 4503 6083 10241 10507 11613 16511 18249 30723 31521 42581 49533 73549 115577 127743 220647 346731 809039 2427117 42528359 127585077 297698513 467811949 808038821 893095539 1403435847 2083889591 2424116463 3274683643 3359740361 5656271747 6251668773 8888427031 9824050929 10079221083 16968815241 22922785501 23518182527 26665281093 36957143971 39593902229 62218989217 63835066859 68768356503 70554547581 110871431913 118781706687 164627277689 186656967651 191505200577 258700007797 435532924519 446845468013 493881833067 702185735449 776100023391 1306598773557 1340536404039 1810900054579 2106557206347 3127918276091 4915300148143 5432700163737 9383754828273 14745900444429 34407101037001 103221303111003