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20121300320 = 2551111432557
BaseRepresentation
bin10010101111010100…
…101010110101100000
31220221021202222000012
4102233110222311200
5312202023102240
613124341144052
71311424142102
oct225724526540
956837688005
1020121300320
118595a49820
123a966bb028
131b88868684
14d8c45d572
157cb72bb65
hex4af52ad60

20121300320 has 48 divisors (see below), whose sum is σ = 51858083088. Its totient is φ = 7316835840.

The previous prime is 20121300307. The next prime is 20121300361. The reversal of 20121300320 is 2300312102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121300295 and 20121300304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5714519 + ... + 5718038.

It is an arithmetic number, because the mean of its divisors is an integer number (1080376731).

Almost surely, 220121300320 is an apocalyptic number.

20121300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121300320 is an abundant number, since it is smaller than the sum of its proper divisors (31736782768).

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

20121300320 is a wasteful number, since it uses less digits than its factorization.

20121300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432583 (or 11432575 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20121300320 its reverse (2300312102), we get a palindrome (22421612422).

The spelling of 20121300320 in words is "twenty billion, one hundred twenty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 11432557 22865114 45730228 57162785 91460456 114325570 125758127 182920912 228651140 251516254 365841824 457302280 503032508 628790635 914604560 1006065016 1257581270 1829209120 2012130032 2515162540 4024260064 5030325080 10060650160 20121300320