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13211030000 = 24547188729
BaseRepresentation
bin11000100110111000…
…00101000111110000
31021002200212212012102
430103130011013300
5204024010430000
610022530115532
7645244621310
oct142334050760
937080785172
1013211030000
11566a311413
12268841bba8
13132701b61c
148d47bd440
15524c393d5
hex3137051f0

13211030000 has 100 divisors (see below), whose sum is σ = 36554736240. Its totient is φ = 4529472000.

The previous prime is 13211029969. The next prime is 13211030009. The reversal of 13211030000 is 3011231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211030009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24365 + ... + 164364.

Almost surely, 213211030000 is an apocalyptic number.

13211030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277368120).

13211030000 is an abundant number, since it is smaller than the sum of its proper divisors (23343706240).

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

13211030000 is an equidigital number, since it uses as much as digits as its factorization.

13211030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188764 (or 188743 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13211030000 its reverse (3011231), we get a palindrome (13214041231).

The spelling of 13211030000 in words is "thirteen billion, two hundred eleven million, thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 188729 377458 754916 943645 1321103 1509832 1887290 2642206 3019664 3774580 4718225 5284412 6605515 7549160 9436450 10568824 13211030 15098320 18872900 21137648 23591125 26422060 33027575 37745800 47182250 52844120 66055150 75491600 94364500 105688240 117955625 132110300 165137875 188729000 235911250 264220600 330275750 377458000 471822500 528441200 660551500 825689375 943645000 1321103000 1651378750 1887290000 2642206000 3302757500 6605515000 13211030000