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113322202121220 = 223523711156585039
BaseRepresentation
bin11001110001000011100001…
…100110100100010000000100
3112212020111102002221200222020
4121301003201212210100010
5104323132332220334340
61041003300113003140
732604154544565561
oct3161034146442004
9485214362850866
10113322202121220
1133120748880484
12108627282534b0
134b303125cc8a1
141ddab768d1868
15d17b8586b9d0
hex6710e19a4404

113322202121220 has 96 divisors (see below), whose sum is σ = 335761263452160. Its totient is φ = 28498255336320.

The previous prime is 113322202121207. The next prime is 113322202121273. The reversal of 113322202121220 is 22121202223311.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 578194540 + ... + 578390499.

It is an arithmetic number, because the mean of its divisors is an integer number (3497513160960).

Almost surely, 2113322202121220 is an apocalyptic number.

113322202121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113322202121220 is an abundant number, since it is smaller than the sum of its proper divisors (222439061330940).

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

113322202121220 is a wasteful number, since it uses less digits than its factorization.

113322202121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156585145 (or 1156585143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113322202121220 its reverse (22121202223311), we get a palindrome (135443404344531).

The spelling of 113322202121220 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 1065 1380 1420 1633 2130 3266 4260 4899 6532 8165 9798 16330 19596 24495 32660 48990 97980 1156585039 2313170078 3469755117 4626340156 5782925195 6939510234 11565850390 13879020468 17348775585 23131700780 26601455897 34697551170 53202911794 69395102340 79804367691 82117537769 106405823588 133007279485 159608735382 164235075538 246352613307 266014558970 319217470764 328470151076 399021838455 410587688845 492705226614 532029117940 798043676910 821175377690 985410453228 1231763066535 1596087353820 1642350755380 1888703368687 2463526133070 3777406737374 4927052266140 5666110106061 7554813474748 9443516843435 11332220212122 18887033686870 22664440424244 28330550530305 37774067373740 56661101060610 113322202121220