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113313122321022 = 2351335335076413
BaseRepresentation
bin11001110000111011000100…
…011001111000001001111110
3112212012121222022201001200000
4121300323010121320021332
5104323010233303233042
61040555155121215130
732603413542553101
oct3160730431701176
9485177868631600
10113313122321022
1133117909535178
1210860a134914a6
134b2c4c645c150
141dda554a66738
15d1780367a74c
hex670ec467827e

113313122321022 has 96 divisors (see below), whose sum is σ = 274267439697888. Its totient is φ = 34855700685696.

The previous prime is 113313122320967. The next prime is 113313122321027. The reversal of 113313122321022 is 220123221313311.

113313122321022 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 312 + 2 + 321 + 0 + 22 = 666.

113313122321022 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313122321027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19783288 + ... + 24859700.

It is an arithmetic number, because the mean of its divisors is an integer number (2856952496853).

Almost surely, 2113313122321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113313122321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137133719848944).

113313122321022 is an abundant number, since it is smaller than the sum of its proper divisors (160954317376866).

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

113313122321022 is a wasteful number, since it uses less digits than its factorization.

113313122321022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079976 (or 5079964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113313122321022 its reverse (220123221313311), we get a palindrome (333436343634333).

The spelling of 113313122321022 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred twenty-two million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 3533 6318 7066 10599 21198 31797 45929 63594 91858 95391 137787 190782 275574 286173 413361 572346 826722 858519 1240083 1717038 2480166 3720249 5076413 7440498 10152826 11160747 15229239 22321494 30458478 45687717 65993369 91375434 131986738 137063151 197980107 274126302 395960214 411189453 593940321 822378906 1187880642 1233568359 1781820963 2467136718 3563641926 5345462889 10690925778 16036388667 17934967129 32072777334 35869934258 53804901387 107609802774 161414704161 233154572677 322829408322 466309145354 484244112483 699463718031 968488224966 1398927436062 1452732337449 2098391154093 2905464674898 4196782308186 4358197012347 6295173462279 8716394024694 12590346924558 18885520386837 37771040773674 56656561160511 113313122321022