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300222141343312 = 24232967974328629
BaseRepresentation
bin100010001000011001110101…
…0000101101010011001010000
31110100222221211020002001101211
41010100303222011222121100
5303322314421140441222
62542304051524105504
7120144222351646306
oct10420635205523120
91410887736061354
10300222141343312
118772954a016661
122980908b835294
13cb69a98933866
14541cb8736c276
1524a9700a31277
hex1110cea16a650

300222141343312 has 160 divisors (see below), whose sum is σ = 643842503942400. Its totient is φ = 135156249575424.

The previous prime is 300222141343303. The next prime is 300222141343403. The reversal of 300222141343312 is 213343141222003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67193014 + ... + 71521642.

It is an arithmetic number, because the mean of its divisors is an integer number (4024015649640).

Almost surely, 2300222141343312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300222141343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321921251971200).

300222141343312 is an abundant number, since it is smaller than the sum of its proper divisors (343620362599088).

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

300222141343312 is a wasteful number, since it uses less digits than its factorization.

300222141343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328853 (or 4328847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 300222141343312 its reverse (213343141222003), we get a palindrome (513565282565315).

The spelling of 300222141343312 in words is "three hundred trillion, two hundred twenty-two billion, one hundred forty-one million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 58 67 92 97 116 134 184 194 232 268 368 388 464 536 667 776 1072 1334 1541 1552 1943 2231 2668 2813 3082 3886 4462 5336 5626 6164 6499 7772 8924 10672 11252 12328 12998 15544 17848 22504 24656 25996 31088 35696 44689 45008 51992 64699 89378 103984 129398 149477 178756 188471 258796 298954 357512 376942 517592 597908 715024 753884 1035184 1195816 1507768 2391632 3015536 4328629 4334833 8657258 8669666 17314516 17339332 34629032 34678664 69258064 69357328 99558467 125530241 199116934 251060482 290018143 398233868 419877013 502120964 580036286 796467736 839754026 1004241928 1160072572 1592935472 1679508052 2008483856 2320145144 2887195543 3359016104 4640290288 5774391086 6670417289 6718032208 8410526147 9657171299 11548782172 12176433377 13340834578 16821052294 19314342598 23097564344 24352866754 26681669156 28131759871 33642104588 38628685196 46195128688 48705733508 53363338312 56263519742 67284209176 77257370392 97411467016 106726676624 112527039484 134568418352 154514740784 193442101381 194822934032 225054078968 280057967671 386884202762 450108157936 560115935342 647030477033 773768405524 815821036259 1120231870684 1294060954066 1547536811048 1631642072518 2240463741368 2588121908132 3095073622096 3263284145036 4480927482736 5176243816264 6526568290072 10352487632528 13053136580144 18763883833957 37527767667914 75055535335828 150111070671656 300222141343312