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210300203232330 = 235192236532533651
BaseRepresentation
bin101111110100010001010100…
…111010001110110001001010
31000120121111120202012121111020
4233310101110322032301022
5210031024304011413310
62023134325111413310
762203455040233531
oct5764212472166112
91016544522177436
10210300203232330
116100a8a7234072
121b705708684236
1390462bb392603
1439d0826c79318
15194a5ce438170
hexbf4454e8ec4a

210300203232330 has 128 divisors (see below), whose sum is σ = 534484632084480. Its totient is φ = 52809211526400.

The previous prime is 210300203232319. The next prime is 210300203232331. The reversal of 210300203232330 is 33232302003012.

210300203232330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 210300203232330.

It is not an unprimeable number, because it can be changed into a prime (210300203232331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81736005 + ... + 84269655.

It is an arithmetic number, because the mean of its divisors is an integer number (4175661188160).

Almost surely, 2210300203232330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210300203232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267242316042240).

210300203232330 is an abundant number, since it is smaller than the sum of its proper divisors (324184428852150).

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

210300203232330 is a wasteful number, since it uses less digits than its factorization.

210300203232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534556.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 210300203232330 its reverse (33232302003012), we get a palindrome (243532505235342).

The spelling of 210300203232330 in words is "two hundred ten trillion, three hundred billion, two hundred three million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 223 285 446 570 653 669 1115 1306 1338 1959 2230 3265 3345 3918 4237 6530 6690 8474 9795 12407 12711 19590 21185 24814 25422 37221 42370 62035 63555 74442 124070 127110 145619 186105 291238 372210 436857 728095 873714 1456190 2184285 2533651 2766761 4368570 5067302 5533522 7600953 8300283 12668255 13833805 15201906 16600566 25336510 27667610 38004765 41501415 48139369 76009530 83002830 96278738 144418107 240696845 288836214 481393690 565004173 722090535 1130008346 1444181070 1654474103 1695012519 2825020865 3308948206 3390025038 4963422309 5650041730 8272370515 8475062595 9926844618 10735079287 16544741030 16950125190 21470158574 24817111545 31435007957 32205237861 49634223090 53675396435 62870015914 64410475722 94305023871 107350792870 157175039785 161026189305 188610047742 314350079570 322052378610 368947724969 471525119355 737895449938 943050238710 1106843174907 1844738624845 2213686349814 3689477249690 5534215874535 7010006774411 11068431749070 14020013548822 21030020323233 35050033872055 42060040646466 70100067744110 105150101616165 210300203232330