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105003333204 = 223711313363067
BaseRepresentation
bin110000111001010101…
…1111011011001010100
3101001000212022000002220
41201302223323121110
53210021323130304
6120123213502340
710405036414530
oct1416253733124
9331025260086
10105003333204
114059370a420
12184254a19b0
139b95267533
14512174cbc0
152ae85edad9
hex1872afb654

105003333204 has 96 divisors (see below), whose sum is σ = 306441010176. Its totient is φ = 27186382080.

The previous prime is 105003333143. The next prime is 105003333229. The reversal of 105003333204 is 402333300501.

It is a happy number.

It is a super-2 number, since 2×1050033332042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107679 + ... + 470745.

It is an arithmetic number, because the mean of its divisors is an integer number (3192093856).

Almost surely, 2105003333204 is an apocalyptic number.

105003333204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105003333204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153220505088).

105003333204 is an abundant number, since it is smaller than the sum of its proper divisors (201437676972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105003333204 is a wasteful number, since it uses less digits than its factorization.

105003333204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363405 (or 363403 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 105003333204 its reverse (402333300501), we get a palindrome (507336633705).

The spelling of 105003333204 in words is "one hundred five billion, three million, three hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 313 462 626 924 939 1252 1878 2191 3443 3756 4382 6573 6886 8764 10329 13146 13772 20658 24101 26292 41316 48202 72303 96404 144606 289212 363067 726134 1089201 1452268 2178402 2541469 3993737 4356804 5082938 7624407 7987474 10165876 11981211 15248814 15974948 23962422 27956159 30497628 47924844 55912318 83868477 111824636 113639971 167736954 227279942 335473908 340919913 454559884 681839826 795479797 1250039681 1363679652 1590959594 2386439391 2500079362 3181919188 3750119043 4772878782 5000158724 7500238086 8750277767 9545757564 15000476172 17500555534 26250833301 35001111068 52501666602 105003333204