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104222311312 = 2475397717971
BaseRepresentation
bin110000100010000100…
…0100100001110010000
3100222000102122222111011
41201010020210032100
53201421402430222
6115513513500304
710346504013010
oct1410410441620
9328012588434
10104222311312
1140222861089
1218247a11694
139a9c4ca8c2
145089b23c40
152a9ec74c77
hex1844224390

104222311312 has 80 divisors (see below), whose sum is σ = 235386041472. Its totient is φ = 43776645120.

The previous prime is 104222311289. The next prime is 104222311381. The reversal of 104222311312 is 213113222401.

It is a super-2 number, since 2×1042223113122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5790487 + ... + 5808457.

Almost surely, 2104222311312 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 104222311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117693020736).

104222311312 is an abundant number, since it is smaller than the sum of its proper divisors (131163730160).

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

104222311312 is a wasteful number, since it uses less digits than its factorization.

104222311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 104222311312 its reverse (213113222401), we get a palindrome (317335533713).

The spelling of 104222311312 in words is "one hundred four billion, two hundred twenty-two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 977 1484 1954 2968 3908 5936 6839 7816 13678 15632 17971 27356 35942 51781 54712 71884 103562 109424 125797 143768 207124 251594 287536 362467 414248 503188 724934 828496 952463 1006376 1449868 1904926 2012752 2899736 3809852 5799472 6667241 7619704 13334482 15239408 17557667 26668964 35115334 53337928 70230668 106675856 122903669 140461336 245807338 280922672 491614676 930556351 983229352 1861112702 1966458704 3722225404 6513894457 7444450808 13027788914 14888901616 26055577828 52111155656 104222311312