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110404321202214 = 2321310733113321663
BaseRepresentation
bin11001000110100110000010…
…010110001101000000100110
3112110220112211222012222011100
4121012212002112031000212
5103432331022211432324
61030451013414220530
732153310000161004
oct3106460226150046
9473815758188140
10110404321202214
11321a62340a1796
121047111b954746
13497b10cc43690
141d39851d89a74
15cb6d0a67c4c9
hex64698258d026

110404321202214 has 96 divisors (see below), whose sum is σ = 260803225073664. Its totient is φ = 33551405046720.

The previous prime is 110404321202113. The next prime is 110404321202243. The reversal of 110404321202214 is 412202123404011.

110404321202214 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 432 + 1 + 2 + 0 + 221 + 4 = 666.

It is a super-2 number, since 2×1104043212022142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1626747 + ... + 14948409.

It is an arithmetic number, because the mean of its divisors is an integer number (2716700261184).

Almost surely, 2110404321202214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110404321202214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130401612536832).

110404321202214 is an abundant number, since it is smaller than the sum of its proper divisors (150398903871450).

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

110404321202214 is a wasteful number, since it uses less digits than its factorization.

110404321202214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322122 (or 13322119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110404321202214 its reverse (412202123404011), we get a palindrome (522606444606225).

The spelling of 110404321202214 in words is "one hundred ten trillion, four hundred four billion, three hundred twenty-one million, two hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 331 642 662 963 993 1391 1926 1986 2782 2979 4173 4303 5958 8346 8606 12519 12909 25038 25818 35417 38727 70834 77454 106251 212502 318753 460421 637506 920842 1381263 2762526 4143789 8287578 13321663 26643326 39964989 79929978 119894967 173181619 239789934 346363238 519544857 1039089714 1425417941 1558634571 2850835882 3117269142 4276253823 4409470453 8552507646 8818940906 12828761469 13228411359 18530433233 25657522938 26456822718 37060866466 39685234077 55591299699 57323115889 79370468154 111182599398 114646231778 166773899097 171969347667 333547798194 343938695334 471813338471 515908043001 943626676942 1031816086002 1415440015413 2830880030826 4246320046239 6133573400123 8492640092478 12267146800246 18400720200369 36801440400738 55202160601107 110404321202214