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13331000000 = 265613331
BaseRepresentation
bin11000110101001011…
…01110101011000000
31021102001121222002202
430122211232223000
5204300214000000
610042453332332
7651232426133
oct143245565300
937361558082
1013331000000
11572100267a
1227006370a8
131345b349a6
149066cc21a
15530535dd5
hex31a96eac0

13331000000 has 98 divisors (see below), whose sum is σ = 33069186084. Its totient is φ = 5332000000.

The previous prime is 13330999991. The next prime is 13331000003. The reversal of 13331000000 is 13331.

It is a super-2 number, since 2×133310000002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13331000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993335 + ... + 1006665.

Almost surely, 213331000000 is an apocalyptic number.

13331000000 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 13331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534593042).

13331000000 is an abundant number, since it is smaller than the sum of its proper divisors (19738186084).

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

13331000000 is an frugal number, since it uses more digits than its factorization.

13331000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 13331000000 its reverse (13331), we get a palindrome (13331013331).

Multiplying 13331000000 by its reverse (13331), we get a square (177715561000000 = 133310002).

13331000000 divided by its reverse (13331) gives a 6-th power (1000000 = 106).

The spelling of 13331000000 in words is "thirteen billion, three hundred thirty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 13331 15625 20000 25000 26662 31250 40000 50000 53324 62500 66655 100000 106648 125000 133310 200000 213296 250000 266620 333275 426592 500000 533240 666550 853184 1000000 1066480 1333100 1666375 2132960 2666200 3332750 4265920 5332400 6665500 8331875 10664800 13331000 16663750 21329600 26662000 33327500 41659375 53324000 66655000 83318750 106648000 133310000 166637500 208296875 266620000 333275000 416593750 533240000 666550000 833187500 1333100000 1666375000 2666200000 3332750000 6665500000 13331000000