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1300311311000 = 235313179558793
BaseRepresentation
bin10010111011000000100…
…110000000001010011000
311121022022221010200122012
4102323000212000022120
5132301014143423000
62433204344045052
7162641632530542
oct22730046001230
94538287120565
101300311311000
11461505921809
12190013763788
1395807755730
1446d14a64692
1523c5641a735
hex12ec0980298

1300311311000 has 128 divisors (see below), whose sum is σ = 3295096459200. Its totient is φ = 477431884800.

The previous prime is 1300311310997. The next prime is 1300311311041. The reversal of 1300311311000 is 1131130031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047604 + ... + 2606396.

Almost surely, 21300311311000 is an apocalyptic number.

1300311311000 is a gapful number since it is divisible by the number (10) 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 1300311311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647548229600).

1300311311000 is an abundant number, since it is smaller than the sum of its proper divisors (1994785148200).

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

1300311311000 is a wasteful number, since it uses less digits than its factorization.

1300311311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559006 (or 558992 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1300311311000 its reverse (1131130031), we get a palindrome (1301442441031).

The spelling of 1300311311000 in words is "one trillion, three hundred billion, three hundred eleven million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 179 200 250 260 325 358 500 520 650 716 895 1000 1300 1432 1625 1790 2327 2600 3250 3580 4475 4654 6500 7160 8950 9308 11635 13000 17900 18616 22375 23270 35800 44750 46540 58175 89500 93080 116350 179000 232700 290875 465400 558793 581750 1117586 1163500 2235172 2327000 2793965 4470344 5587930 7264309 11175860 13969825 14528618 22351720 27939650 29057236 36321545 55879300 58114472 69849125 72643090 100023947 111758600 139698250 145286180 181607725 200047894 279396500 290572360 363215450 400095788 500119735 558793000 726430900 800191576 908038625 1000239470 1300311311 1452861800 1816077250 2000478940 2500598675 2600622622 3632154500 4000957880 5001197350 5201245244 6501556555 7264309000 10002394700 10402490488 12502993375 13003113110 20004789400 25005986750 26006226220 32507782775 50011973500 52012452440 65015565550 100023947000 130031131100 162538913875 260062262200 325077827750 650155655500 1300311311000