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13311322000 = 24536655661
BaseRepresentation
bin11000110010110101…
…01010011110010000
31021100200121012221221
430121122222132100
5204230144301000
610040511454424
7650603240644
oct143132523620
937320535857
1013311322000
115710992269
1226b5b27414
131341a34cc2
14903c48c24
1552d94a61a
hex3196aa790

13311322000 has 40 divisors (see below), whose sum is σ = 32186781432. Its totient is φ = 5324528000.

The previous prime is 13311321971. The next prime is 13311322001. The reversal of 13311322000 is 22311331.

It can be written as a sum of positive squares in 4 ways, for example, as 1671501456 + 11639820544 = 40884^2 + 107888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13311322001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3325831 + ... + 3329830.

Almost surely, 213311322000 is an apocalyptic number.

13311322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311322000 is an abundant number, since it is smaller than the sum of its proper divisors (18875459432).

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

13311322000 is an equidigital number, since it uses as much as digits as its factorization.

13311322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655684 (or 6655668 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13311322000 its reverse (22311331), we get a palindrome (13333633331).

The spelling of 13311322000 in words is "thirteen billion, three hundred eleven million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6655661 13311322 26622644 33278305 53245288 66556610 106490576 133113220 166391525 266226440 332783050 532452880 665566100 831957625 1331132200 1663915250 2662264400 3327830500 6655661000 13311322000