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220102200013302 = 233101593320321247
BaseRepresentation
bin110010000010111010001001…
…011100100011000111110110
31001212022120020202110011101000
4302002322021130203013312
5212322123301200411202
62100041315500344130
764234600462201035
oct6202721134430766
91055276222404330
10220102200013302
1164149900944aa2
1220829345545046
1395a7718ab9a69
143c4d00918471c
151a6a56b38091c
hexc82e897231f6

220102200013302 has 128 divisors (see below), whose sum is σ = 494969487851520. Its totient is φ = 72492439795200.

The previous prime is 220102200013249. The next prime is 220102200013357. The reversal of 220102200013302 is 203310002201022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10359202443 + ... + 10359223689.

It is an arithmetic number, because the mean of its divisors is an integer number (3866949123840).

Almost surely, 2220102200013302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102200013302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484743925760).

220102200013302 is an abundant number, since it is smaller than the sum of its proper divisors (274867287838218).

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

220102200013302 is a wasteful number, since it uses less digits than its factorization.

220102200013302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25155 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220102200013302 its reverse (203310002201022), we get a palindrome (423412202214324).

The spelling of 220102200013302 in words is "two hundred twenty trillion, one hundred two billion, two hundred million, thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 593 606 909 1186 1779 1818 2727 3203 3558 5337 5454 6406 9609 10674 16011 19218 21247 28827 32022 42494 57654 59893 63741 86481 119786 127482 172962 179679 191223 323503 359358 382446 539037 573669 647006 970509 1078074 1147338 1617111 1899379 1941018 2145947 2911527 3234222 3798758 4291894 5698137 5823054 6437841 8734581 11396274 12599471 12875682 17094411 17469162 19313523 25198942 34188822 37798413 38627046 51283233 57940569 68054141 75596826 102566466 113395239 115881138 136108282 191837279 204162423 226790478 340185717 383674558 408324846 575511837 612487269 680371434 1151023674 1224974538 1272546571 1726535511 1837461807 2545093142 3453071022 3674923614 3817639713 5179606533 6873468241 7635279426 10359213066 11452919139 13746936482 20620404723 22905838278 34358757417 40356105613 41240809446 61861214169 68717514834 80712211226 121068316839 123722428338 185583642507 242136633678 363204950517 371167285014 726409901034 1089614851551 2179229703102 4075966666913 8151933333826 12227900000739 24455800001478 36683700002217 73367400004434 110051100006651 220102200013302