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3223011054042 = 2321337405791757
BaseRepresentation
bin101110111001101010011…
…011011101000111011010
3102102010011011220121211100
4232321222123131013122
5410301211312212132
610504344132212230
7451566134640153
oct56715233350732
912363134817740
103223011054042
11103296479740a
12440783a6a076
131a4c0c2ab790
14b1dcd14292a
1558c87e5d37c
hex2ee6a6dd1da

3223011054042 has 96 divisors (see below), whose sum is σ = 7725600045072. Its totient is φ = 964644774912.

The previous prime is 3223011054037. The next prime is 3223011054083. The reversal of 3223011054042 is 2404501103223.

3223011054042 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 0 + 110 + 540 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2570856285321 + 652154768721 = 1603389^2 + 807561^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3223011053997 and 3223011054015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35079628 + ... + 35171384.

Almost surely, 23223011054042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223011054042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862800022536).

3223011054042 is an abundant number, since it is smaller than the sum of its proper divisors (4502588991030).

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

3223011054042 is a wasteful number, since it uses less digits than its factorization.

3223011054042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95872 (or 95869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3223011054042 its reverse (2404501103223), we get a palindrome (5627512157265).

The spelling of 3223011054042 in words is "three trillion, two hundred twenty-three billion, eleven million, fifty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4057 4329 8114 8658 12171 24342 36513 52741 73026 91757 105482 150109 158223 183514 275271 300218 316446 450327 474669 550542 825813 900654 949338 1192841 1350981 1651626 1951417 2385682 2701962 3395009 3578523 3902834 5854251 6790018 7157046 10185027 10735569 11708502 17562753 20370054 21471138 30555081 35125506 44135117 61110162 88270234 132405351 264810702 372258149 397216053 744516298 794432106 1116774447 2233548894 3350323341 4839355937 6700646682 9678711874 13773551513 14518067811 27547103026 29036135622 41320654539 43554203433 82641309078 87108406866 123961963617 179056169669 247923927234 358112339338 537168509007 1074337018014 1611505527021 3223011054042