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13001331000 = 233537619111
BaseRepresentation
bin11000001101111000…
…01001000100111000
31020120002022001020210
430012330021010320
5203111320043000
65550035351120
7640120330050
oct140674110470
936502261223
1013001331000
115571a04459
12262a1524a0
1312c2749788
148b49d4560
15511616350
hex306f09138

13001331000 has 128 divisors (see below), whose sum is σ = 46359106560. Its totient is φ = 2971728000.

The previous prime is 13001330987. The next prime is 13001331029. The reversal of 13001331000 is 13310031.

It is a super-2 number, since 2×130013310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 288556 + ... + 330555.

It is an arithmetic number, because the mean of its divisors is an integer number (362180520).

Almost surely, 213001331000 is an apocalyptic number.

13001331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001331000 is an abundant number, since it is smaller than the sum of its proper divisors (33357775560).

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

13001331000 is a wasteful number, since it uses less digits than its factorization.

13001331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619142 (or 619128 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13001331000 its reverse (13310031), we get a palindrome (13014641031).

The spelling of 13001331000 in words is "thirteen billion, one million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 619111 1238222 1857333 2476444 3095555 3714666 4333777 4952888 6191110 7429332 8667554 9286665 12382220 13001331 14858664 15477775 17335108 18573330 21668885 24764440 26002662 30955550 34670216 37146660 43337770 46433325 52005324 61911100 65006655 74293320 77388875 86675540 92866650 104010648 108344425 123822200 130013310 154777750 173351080 185733300 216688850 232166625 260026620 309555500 325033275 371466600 433377700 464333250 520053240 541722125 619111000 650066550 866755400 928666500 1083444250 1300133100 1625166375 1857333000 2166888500 2600266200 3250332750 4333777000 6500665500 13001331000