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13201002000 = 243353244463
BaseRepresentation
bin11000100101101011…
…10100111000010000
31021002000000101101000
430102311310320100
5204013424031000
610021531142000
7645063444204
oct142265647020
937060011330
1013201002000
11566469220a
122684ba4900
131324c1a0b4
148d332cb04
15523e08000
hex312d74e10

13201002000 has 160 divisors (see below), whose sum is σ = 47289116160. Its totient is φ = 3520252800.

The previous prime is 13201001971. The next prime is 13201002029. The reversal of 13201002000 is 20010231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13201001971) and next prime (13201002029).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 68232 + ... + 176231.

It is an arithmetic number, because the mean of its divisors is an integer number (295556976).

Almost surely, 213201002000 is an apocalyptic number.

13201002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201002000 is an abundant number, since it is smaller than the sum of its proper divisors (34088114160).

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

13201002000 is a wasteful number, since it uses less digits than its factorization.

13201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244495 (or 244473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13201002000 its reverse (20010231), we get a palindrome (13221012231).

The spelling of 13201002000 in words is "thirteen billion, two hundred one million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 244463 488926 733389 977852 1222315 1466778 1955704 2200167 2444630 2933556 3666945 3911408 4400334 4889260 5867112 6111575 6600501 7333890 8800668 9778520 11000835 11734224 12223150 13201002 14667780 17601336 18334725 19557040 22001670 24446300 26402004 29335560 30557875 33002505 35202672 36669450 44003340 48892600 52804008 55004175 58671120 61115750 66005010 73338900 88006680 91673625 97785200 105608016 110008350 122231500 132010020 146677800 165012525 176013360 183347250 220016700 244463000 264020040 275020875 293355600 330025050 366694500 440033400 488926000 528040080 550041750 660050100 733389000 825062625 880066800 1100083500 1320100200 1466778000 1650125250 2200167000 2640200400 3300250500 4400334000 6600501000 13201002000