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110212230023322 = 237194714272059231
BaseRepresentation
bin11001000011110011001000…
…110100100000100010011010
3112110020012000210210000122020
4121003303020310200202122
5103421204121341221242
61030222444405435310
732133366542121330
oct3103631064404232
9473205023700566
10110212230023322
1132131820691989
121043ba50a0bb36
134965c792c1c0b
141d3042c3d9b50
15cb1d166e26ec
hex643cc8d2089a

110212230023322 has 128 divisors (see below), whose sum is σ = 271004156559360. Its totient is φ = 29176686233280.

The previous prime is 110212230023299. The next prime is 110212230023353. The reversal of 110212230023322 is 223320032212011.

It is a super-4 number, since 4×1102122300233224 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110212230023292 and 110212230023301.

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 63 ways as a sum of consecutive naturals, for example, 52491447 + ... + 54550677.

It is an arithmetic number, because the mean of its divisors is an integer number (2117219973120).

Almost surely, 2110212230023322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212230023322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135502078279680).

110212230023322 is an abundant number, since it is smaller than the sum of its proper divisors (160791926536038).

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

110212230023322 is a wasteful number, since it uses less digits than its factorization.

110212230023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060736.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 110212230023322 its reverse (223320032212011), we get a palindrome (333532262235333).

The spelling of 110212230023322 in words is "one hundred ten trillion, two hundred twelve billion, two hundred thirty million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 658 798 893 987 1427 1786 1974 2679 2854 4281 5358 6251 8562 9989 12502 18753 19978 27113 29967 37506 54226 59934 67069 81339 134138 162678 189791 201207 379582 402414 469483 569373 938966 1138746 1274311 1408449 2059231 2548622 2816898 3822933 4118462 6177693 7645866 8920177 12355386 14414617 17840354 26760531 28829234 39125389 43243851 53521062 78250778 86487702 96783857 117376167 193567714 234752334 273877723 290351571 547755446 580703142 677486999 821633169 1354973998 1643266338 1838893283 2032460997 2938522637 3677786566 4064921994 5516679849 5877045274 8815567911 11033359698 12872252981 17631135822 20569658459 25744505962 38616758943 41139316918 55831930103 61708975377 77233517886 111663860206 123417950754 138110563939 167495790309 276221127878 334991580618 390823510721 414331691817 781647021442 828663383634 966773947573 1172470532163 1933547895146 2344941064326 2624100714841 2900321842719 5248201429682 5800643685438 7872302144523 15744604289046 18368705003887 36737410007774 55106115011661 110212230023322