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301212300401430 = 235117314827843301
BaseRepresentation
bin100010001111100110111010…
…0001010101101101100010110
31110111111121121010000211110220
41010133031310022231230112
5303440030242400321210
62544343004233055210
7120305604413040555
oct10437156412555426
91414447533024426
10301212300401430
1187a80467a96230
1229948b65b57506
13cc0c276162a62
145454a78817d9c
1524c5353357c70
hex111f3742adb16

301212300401430 has 128 divisors (see below), whose sum is σ = 799486564732416. Its totient is φ = 72015931008000.

The previous prime is 301212300401401. The next prime is 301212300401461. The reversal of 301212300401430 is 34104003212103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 301212300401430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356760780 + ... + 357604080.

It is an arithmetic number, because the mean of its divisors is an integer number (6245988786972).

Almost surely, 2301212300401430 is an apocalyptic number.

301212300401430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 301212300401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399743282366208).

301212300401430 is an abundant number, since it is smaller than the sum of its proper divisors (498274264330986).

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

301212300401430 is a wasteful number, since it uses less digits than its factorization.

301212300401430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858222.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 301212300401430 its reverse (34104003212103), we get a palindrome (335316303613533).

The spelling of 301212300401430 in words is "three hundred one trillion, two hundred twelve billion, three hundred million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 12045 14827 24090 29654 44481 74135 88962 148270 163097 222405 326194 444810 489291 815485 843301 978582 1082371 1630970 1686602 2164742 2446455 2529903 3247113 4216505 4892910 5059806 5411855 6494226 8433010 9276311 10823710 11906081 12649515 16235565 18552622 23812162 25299030 27828933 32471130 35718243 46381555 55657866 59530405 61560973 71436486 92763110 119060810 123121946 139144665 178591215 184682919 278289330 307804865 357182430 369365838 615609730 677170703 923414595 1354341406 1846829190 2031512109 3385853515 4063024218 6771707030 10157560545 12503623927 20315121090 25007247854 37510871781 62518119635 75021743562 125036239270 137539863197 187554358905 275079726394 375108717810 412619589591 687699315985 825239179182 912764546671 1375398631970 1825529093342 2063097947955 2738293640013 4126195895910 4563822733355 5476587280026 9127645466710 10040410013381 13691468200065 20080820026762 27382936400130 30121230040143 50202050066905 60242460080286 100404100133810 150606150200715 301212300401430