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1300411450000 = 2455132000633
BaseRepresentation
bin10010111011000110100…
…100000000001010010000
311121022120220120021112001
4102323012210000022100
5132301220312400000
62433222322243344
7162644256642145
oct22730644001220
94538526507461
101300411450000
114615573a8713
121900411b6554
1395822417590
1446d240903cc
1523c600eb46a
hex12ec6900290

1300411450000 has 120 divisors (see below), whose sum is σ = 3391482759336. Its totient is φ = 480151680000.

The previous prime is 1300411449881. The next prime is 1300411450021. The reversal of 1300411450000 is 541140031.

It can be written as a sum of positive squares in 12 ways, for example, as 1260257702544 + 40153747456 = 1122612^2 + 200384^2 .

It is a super-2 number, since 2×13004114500002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1300411450000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350317 + ... + 1650316.

Almost surely, 21300411450000 is an apocalyptic number.

1300411450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300411450000 is an abundant number, since it is smaller than the sum of its proper divisors (2091071309336).

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

1300411450000 is an equidigital number, since it uses as much as digits as its factorization.

1300411450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000679 (or 2000653 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 1300411450000 its reverse (541140031), we get a palindrome (1300952590031).

The spelling of 1300411450000 in words is "one trillion, three hundred billion, four hundred eleven million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3125 3250 5000 5200 6250 6500 8125 10000 12500 13000 16250 25000 26000 32500 40625 50000 65000 81250 130000 162500 325000 650000 2000633 4001266 8002532 10003165 16005064 20006330 26008229 32010128 40012660 50015825 52016458 80025320 100031650 104032916 130041145 160050640 200063300 208065832 250079125 260082290 400126600 416131664 500158250 520164580 650205725 800253200 1000316500 1040329160 1250395625 1300411450 2000633000 2080658320 2500791250 2600822900 3251028625 4001266000 5001582500 5201645800 6251978125 6502057250 10003165000 10403291600 12503956250 13004114500 16255143125 20006330000 25007912500 26008229000 32510286250 50015825000 52016458000 65020572500 81275715625 100031650000 130041145000 162551431250 260082290000 325102862500 650205725000 1300411450000