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310001300010300 = 2235228328669127363
BaseRepresentation
bin100011001111100011100110…
…1010111011111010100111100
31111122121211112121101012120010
41012133013031113133110330
5311113030130300312200
63015152344201023220
7122203566130060023
oct10637071527372474
91448554477335503
10310001300010300
118a8598a4158518
122a9283b4184b10
13103c8cc699cbb2
14567a2004898ba
1525c8ca2995150
hex119f1cd5df53c

310001300010300 has 144 divisors (see below), whose sum is σ = 900144947730560. Its totient is φ = 82371383688960.

The previous prime is 310001300010209. The next prime is 310001300010343. The reversal of 310001300010300 is 3010003100013.

It is a super-2 number, since 2×3100013000103002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433934419 + ... + 2434061781.

Almost surely, 2310001300010300 is an apocalyptic number.

310001300010300 is a gapful number since it is divisible by the number (30) 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 310001300010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450072473865280).

310001300010300 is an abundant number, since it is smaller than the sum of its proper divisors (590143647720260).

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

310001300010300 is a wasteful number, since it uses less digits than its factorization.

310001300010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156332 (or 156325 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 310001300010300 its reverse (3010003100013), we get a palindrome (313011303110313).

The spelling of 310001300010300 in words is "three hundred ten trillion, one billion, three hundred million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 28300 28669 42450 57338 84900 86007 114676 127363 143345 172014 254726 286690 344028 382089 430035 509452 573380 636815 716725 764178 860070 1273630 1433450 1528356 1720140 1910445 2150175 2547260 2866900 3184075 3820890 4300350 6368150 7641780 8113327 8600700 9552225 12736300 16226654 19104450 24339981 32453308 36043729 38208900 40566635 48679962 72087458 81133270 97359924 108131187 121699905 144174916 162266540 180218645 202833175 216262374 243399810 360437290 405666350 432524748 486799620 540655935 608499525 720874580 811332700 901093225 1081311870 1216999050 1802186450 2162623740 2433998100 2703279675 3604372900 3651369847 5406559350 7302739694 10813118700 10954109541 14605479388 18256849235 21908219082 36513698470 43816438164 54770547705 73027396940 91284246175 109541095410 182568492350 219082190820 273852738525 365136984700 547705477050 1033337666701 1095410954100 2066675333402 3100013000103 4133350666804 5166688333505 6200026000206 10333376667010 12400052000412 15500065000515 20666753334020 25833441667525 31000130001030 51666883335050 62000260002060 77500325002575 103333766670100 155000650005150 310001300010300