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1300434340200 = 233528924352703
BaseRepresentation
bin10010111011000111111…
…011010100100101101000
311121022122111122012222020
4102323013323110211220
5132301242142341300
62433224501024440
7162644655336342
oct22730773244550
94538574565866
101300434340200
11461569312436
121900489b5120
13958270a0388
1446d2712c292
1523c6211d8a0
hex12ec7ed4968

1300434340200 has 96 divisors (see below), whose sum is σ = 4076642649600. Its totient is φ = 342886044160.

The previous prime is 1300434340181. The next prime is 1300434340229. The reversal of 1300434340200 is 20434340031.

It is a super-2 number, since 2×13004343402002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12122952 + ... + 12229751.

It is an arithmetic number, because the mean of its divisors is an integer number (42465027600).

Almost surely, 21300434340200 is an apocalyptic number.

1300434340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300434340200 is an abundant number, since it is smaller than the sum of its proper divisors (2776208309400).

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

1300434340200 is a wasteful number, since it uses less digits than its factorization.

1300434340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24352811 (or 24352802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1300434340200 its reverse (20434340031), we get a palindrome (1320868680231).

The spelling of 1300434340200 in words is "one trillion, three hundred billion, four hundred thirty-four million, three hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 24352703 48705406 73058109 97410812 121763515 146116218 194821624 243527030 292232436 365290545 487054060 584464872 608817575 730581090 974108120 1217635150 1461162180 1826452725 2167390567 2435270300 2922324360 3652905450 4334781134 4870540600 6502171701 7305810900 8669562268 10836952835 13004343402 14611621800 17339124536 21673905670 26008686804 32510858505 43347811340 52017373608 54184764175 65021717010 86695622680 108369528350 130043434020 162554292525 216739056700 260086868040 325108585050 433478113400 650217170100 1300434340200