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321054530104 = 237112318714867
BaseRepresentation
bin1001010110000000101…
…01110101101000111000
31010200200211201222100101
410223000111311220320
520230004424430404
6403253532445144
732124013323130
oct4530025655070
91120624658311
10321054530104
11114181a04400
12522806197b4
1324376b26a49
14117794cbac0
158540ccd2a4
hex4ac0575a38

321054530104 has 96 divisors (see below), whose sum is σ = 756490976640. Its totient is φ = 125038520640.

The previous prime is 321054530101. The next prime is 321054530221. The reversal of 321054530104 is 401035450123.

It is a super-2 number, since 2×3210545301042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321054530101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21587679 + ... + 21602545.

It is an arithmetic number, because the mean of its divisors is an integer number (7880114340).

Almost surely, 2321054530104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321054530104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378245488320).

321054530104 is an abundant number, since it is smaller than the sum of its proper divisors (435436446536).

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

321054530104 is a wasteful number, since it uses less digits than its factorization.

321054530104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18089 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 321054530104 its reverse (401035450123), we get a palindrome (722089980227).

It can be divided in two parts, 321054 and 530104, that added together give a palindrome (851158).

The spelling of 321054530104 in words is "three hundred twenty-one billion, fifty-four million, five hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3187 3388 6374 6776 12748 14867 22309 25496 29734 35057 44618 59468 70114 89236 104069 118936 140228 163537 178472 208138 245399 280456 327074 385627 416276 490798 654148 771254 832552 981596 1144759 1308296 1542508 1798907 1963192 2289518 2699389 3085016 3597814 4579036 5398778 7195628 9158072 10797556 12592349 14391256 21595112 25184698 47381129 50369396 94762258 100738792 189524516 331667903 379049032 521192419 663335806 1042384838 1326671612 2084769676 2653343224 3648346933 4169539352 5733116609 7296693866 11466233218 14593387732 22932466436 29186775464 40131816263 45864932872 80263632526 160527265052 321054530104