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1300432021300 = 2252591731817039
BaseRepresentation
bin10010111011000111110…
…010011110011100110100
311121022122100021102001001
4102323013302132130310
5132301241044140200
62433224335213044
7162644626540606
oct22730762363464
94538570242031
101300432021300
11461567a79195
12190048077184
139582676aa49
1446d26ac7176
1523c61d1176a
hex12ec7c9e734

1300432021300 has 144 divisors (see below), whose sum is σ = 2902714214400. Its totient is φ = 505519833600.

The previous prime is 1300432021283. The next prime is 1300432021307. The reversal of 1300432021300 is 31202340031.

It is a super-2 number, since 2×13004320213002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300432021307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184743181 + ... + 184750219.

It is an arithmetic number, because the mean of its divisors is an integer number (20157737600).

Almost surely, 21300432021300 is an apocalyptic number.

1300432021300 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 1300432021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451357107200).

1300432021300 is an abundant number, since it is smaller than the sum of its proper divisors (1602282193100).

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

1300432021300 is a wasteful number, since it uses less digits than its factorization.

1300432021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1300432021300 its reverse (31202340031), we get a palindrome (1331634361331).

The spelling of 1300432021300 in words is "one trillion, three hundred billion, four hundred thirty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 173 181 236 295 346 362 590 692 724 865 905 1180 1475 1730 1810 2950 3460 3620 4325 4525 5900 7039 8650 9050 10207 10679 14078 17300 18100 20414 21358 28156 31313 35195 40828 42716 51035 53395 62626 70390 102070 106790 125252 140780 156565 175975 204140 213580 255175 266975 313130 351950 415301 510350 533950 626260 703900 782825 830602 1020700 1067900 1217747 1274059 1565650 1661204 1847467 2076505 2435494 2548118 3131300 3694934 4153010 4870988 5096236 6088735 6370295 7389868 8306020 9237335 10382525 12177470 12740590 18474670 20765050 24354940 25481180 30443675 31851475 36949340 41530100 46186675 60887350 63702950 71847073 75169481 92373350 121774700 127405900 143694146 150338962 184746700 220412207 287388292 300677924 359235365 375847405 440824414 718470730 751694810 881648828 1102061035 1436941460 1503389620 1796176825 1879237025 2204122070 3592353650 3758474050 4408244140 5510305175 7184707300 7516948100 11020610350 13004320213 22041220700 26008640426 52017280852 65021601065 130043202130 260086404260 325108005325 650216010650 1300432021300