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2131333320006 = 2321129212799417
BaseRepresentation
bin11111000000111101010…
…111011000110101000110
321112202100021122202210100
4133000331113120311012
5234404432312220011
64311042045504530
7306661266206532
oct37007527306506
97482307582710
102131333320006
11751991105a80
122a5097272146
13125ca373c047
147522b070bc2
153a692e13d56
hex1f03d5d8d46

2131333320006 has 72 divisors (see below), whose sum is σ = 5217401160504. Its totient is φ = 623587547520.

The previous prime is 2131333319957. The next prime is 2131333320007. The reversal of 2131333320006 is 6000233331312.

It is a happy number.

2131333320006 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 333 + 320 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131333320007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6233191 + ... + 6566226.

It is an arithmetic number, because the mean of its divisors is an integer number (72463905007).

Almost surely, 22131333320006 is an apocalyptic number.

2131333320006 is an abundant number, since it is smaller than the sum of its proper divisors (3086067840498).

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

2131333320006 is a wasteful number, since it uses less digits than its factorization.

2131333320006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799494 (or 12799462 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2131333320006 its reverse (6000233331312), we get a palindrome (8131566651318).

The spelling of 2131333320006 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred twenty thousand, six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 841 957 1682 1914 2523 2871 5046 5742 7569 9251 15138 18502 27753 55506 83259 166518 12799417 25598834 38398251 76796502 115194753 140793587 230389506 281587174 371183093 422380761 742366186 844761522 1113549279 1267142283 2227098558 2534284566 3340647837 4083014023 6681295674 8166028046 10764309697 12249042069 21528619394 24498084138 32292929091 36747126207 64585858182 73494252414 96878787273 118407406667 193757574546 236814813334 355222220001 710444440002 1065666660003 2131333320006