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13331500020 = 22365914369
BaseRepresentation
bin11000110101001111…
…01000101111110100
31021102002120101000000
430122213220233310
5204300331000040
610042512151300
7651236610666
oct143247505764
937362511000
1013331500020
115721314313
122700838530
131345c7b467
149067bc536
155305d4130
hex31a9e8bf4

13331500020 has 84 divisors (see below), whose sum is σ = 41975069220. Its totient is φ = 3555062784.

The previous prime is 13331500001. The next prime is 13331500031. The reversal of 13331500020 is 2000513331.

13331500020 is a `hidden beast` number, since 133 + 31 + 500 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3651301476 + 9680198544 = 60426^2 + 98388^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13331499966 and 13331500002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 442605 + ... + 471764.

It is an arithmetic number, because the mean of its divisors is an integer number (499703205).

Almost surely, 213331500020 is an apocalyptic number.

13331500020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331500020 is an abundant number, since it is smaller than the sum of its proper divisors (28643569200).

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

13331500020 is an equidigital number, since it uses as much as digits as its factorization.

13331500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914396 (or 914379 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 13331500020 in words is "thirteen billion, three hundred thirty-one million, five hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 914369 1828738 2743107 3657476 4571845 5486214 8229321 9143690 10972428 13715535 16458642 18287380 24687963 27431070 32917284 41146605 49375926 54862140 74063889 82293210 98751852 123439815 148127778 164586420 222191667 246879630 296255556 370319445 444383334 493759260 666575001 740638890 888766668 1110958335 1333150002 1481277780 2221916670 2666300004 3332875005 4443833340 6665750010 13331500020