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13200323141000 = 23534127852661
BaseRepresentation
bin1100000000010111000010…
…0100100101110110001000
31201201221100012211110220002
43000011300210211312020
53212233230211003000
644024051132422132
72531456212245422
oct300056044456610
951657305743802
1013200323141000
11422a253310576
121592389617948
13749a28c18388
14338c82dc1812
1517d58618b8d5
hexc0170925d88

13200323141000 has 96 divisors (see below), whose sum is σ = 31660519704840. Its totient is φ = 5151344960000.

The previous prime is 13200323140997. The next prime is 13200323141039. The reversal of 13200323141000 is 14132300231.

It can be written as a sum of positive squares in 12 ways, for example, as 2612470946596 + 10587852194404 = 1616314^2 + 3253898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2245331 + ... + 5607330.

Almost surely, 213200323141000 is an apocalyptic number.

13200323141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200323141000 is an abundant number, since it is smaller than the sum of its proper divisors (18460196563840).

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

13200323141000 is an equidigital number, since it uses as much as digits as its factorization.

13200323141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852764 (or 7852709 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13200323141000 its reverse (14132300231), we get a palindrome (13214455441231).

The spelling of 13200323141000 in words is "thirteen trillion, two hundred billion, three hundred twenty-three million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 1681 2050 3362 4100 5125 6724 8200 8405 10250 13448 16810 20500 33620 41000 42025 67240 84050 168100 210125 336200 420250 840500 1681000 7852661 15705322 31410644 39263305 62821288 78526610 157053220 196316525 314106440 321959101 392633050 643918202 785266100 981582625 1287836404 1570532200 1609795505 1963165250 2575672808 3219591010 3926330500 6439182020 7852661000 8048977525 12878364040 13200323141 16097955050 26400646282 32195910100 40244887625 52801292564 64391820200 66001615705 80489775250 105602585128 132003231410 160979550500 264006462820 321959101000 330008078525 528012925640 660016157050 1320032314100 1650040392625 2640064628200 3300080785250 6600161570500 13200323141000